Answer: x = 3
Step-by-step explanation:
Subtract 1
2^x = 8
Take the log.
x·log(2) = log(8)
Divide by the coefficient of x.
x = log(8)/log(2) = log₂(8)
We know that 8 = 2³, so log₂(8) = 3.
x = 3
_____
If your equation is ...
2^(x+1) = 9
then
x + 1 = log(9)/log(2)
x = log(9)/log(2) -1 . . . . . . change of base formula can be used, but isn't helpful unless you have a calculator that computes log₂(9).
x ≈ 2.170
The value of x from the logarithmic equation is x = 3
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
2ˣ + 1 = 9 be equation (1)
On simplifying the equation , we get
Subtracting 1 on both sides of the equation , we get
2ˣ = 8
Now , taking logarithm on both sides of the equation , we get
log ( 2 )ˣ = log ( 8 )
From the laws of logarithm , we can simplify
x log ( 2 ) = log ( 8 )
And , on further simplification , we get
x log ( 2 ) = log ( 2 )³
So , x log ( 2 ) = 3 log ( 2 )
Divide by log ( 2 ) on both sides of the equation , we get
x = 3
Hence , the value of x = 3
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HELP AND I WILL GIVE BRAINLIEST!
What is the value of c such that x^2 - 6x + c is a perfect-square trinomial?
a. 36
b. 9
c. -3
d. 18
Answer:
[tex]x^2 -6x +c \ is \ the \ perfect \ square\\=> x^2 -6x + c = (x -k)^2\\=>x^2 -6x+c = x^2 -2kx + k^2\\Equating \ the \ like \ terms,\\-6x = -2kx\\k = 3\\substituting \ k \ in \ (x-k) = (x-3)\\x^2 -6x +c = (x-3)^2\\\\X^2 - 6x + c = x^2 -6x +9 \\\\=> c = 9[/tex]
opion. b
Answer:
b
Step-by-step explanation:
Plz help me well mark brainliest if correct!!.....
Answer:
9 inches
Step-by-step explanation:
9 times 6=54
CAN SOMEONE HELP ME PLEASE ASAP
Answer:for the permieter dont you just add both sides?
Step-by-step explanation:
Simplify the expression:
62^7 +1 + 6xy + 8z^7 + 9 + 6yx
I WILL GIVE BRAINLIEST.
Help. No links. Ty :3
Answer:
334
Step-by-step explanation:
What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 - 16 x2 - 8x + 16
x+5 2x +10
Answer:
D
Step-by-step explanation:
some one pls help!!!!
Answer:
I think the bottom right one...
Step-by-step explanation:
dont forget to heart and 5-star! =D
Can someone please help me I will mark u brilliant
Answer: 6.50 + 5.75n
Step-by-step explanation:
Answer:
6.50 + 5.75n
Step-by-step explanation:
because since it said let n equal the number of hours AFTER the FIRST hour.
(just have to read the question carefully)
Watch help video
Write two numbers that multiply to the value on top and add to the value on bottom.
30
11
Answer:
33 22 is the answer
Step-by-step explanation:
The 7 times the sum of a
number and 6 IS 63
Answer:
Missing number = 3
Step-by-step explanation:
Let [tex]x[/tex] be the missing number. We have the following:
[tex]7\cdot (6+x)=63,\\6+x=9,\\x=\boxed{3}[/tex]
In the diagram given below, △DEF∼△DGH, Find q
Answer:
q=3
Step-by-step explanation:
A butterfly flew 743 cm, Then the butterfly flew another 567 cm end to go to a daisy.
How many meters did the butterfly travel?
Answer:
it 567+743
hope it works
Show work for this equation
Answer:
49ft
Step-by-step explanation:
Find x by using
cos38=x/62
On Tuesday, 14 students handed in a permission slip for a field trip. On Thursday, twice as many students handed in their permission slip than on Tuesday. On Friday, an additional 7 students turned in their permission slip. What expression could be used to find the total number of permission slips handed in?
14 x 2 + 7
14 + (2 x 14) + 7
14 + (2 x 7)
14 ÷ (2 x 7) + 14
In the paper airplane shown , ABCD=EFGH, m
Answer:
i would think it would be the same as angle bcd so 90
Step-by-step explanation:
What is 2 15/16 as a decimal
Answer:
2.9375
2 15/16 as a decimal = 2.9375
2 15/16 in decimal form = 2.9375
Two and fifteen sixteenths as a decimal = 2.9375
2 and 15 over 16 as a decimal = 2.9375
Answer:
2.938
Step-by-step explanation:
Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each
person eats per day.
4
Fruit Servings
0
4
Vegetable Servings
Matt is one of the people surveyed. He is considered an outlier in this data.
Which statement describes Matt's data relative to the general pattern of the data?
Answer:b
Step-by-step explanation:
It b
The statement describes Matt's data relative to the general pattern of the data.option B is correct.
We have given that,
Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each
A person eats per day.
Fruit Servings Vegetable Servings
4 0
- 4
Matt is one of the people surveyed. He is considered an outlier in this data.
What is the scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.
From the given scatter plot we can say that option B is correct.
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Match the corresponding sides:
Answer:
EG=LN NM=GF LM=EF
Step-by-step explanation:
Evaluate the expression.
20^2 + 6(9 + 3) = 274
RETRY
Answer:
False
Step-by-step explanation:
I'm pretty sure you're asking if the question is true or false and in this case, it is not true.
20^2+6(9+3)=274
evaluate power
400+6(9+3)=274
multiply numbers
400+72=274
add numbers
472=274
they are not the same number which means that statement wasn't true
The answer to the above question
Answer:
Step-by-step explanation:
Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have
[tex]2^2=\sqrt{2}^2+b^2[/tex] and
[tex]4=2+b^2[/tex] so
[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]
Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so
[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then
[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]
Jose' traveled from his home in Ocala to Gainesville. Gainesville is 37 miles
due north of Ocala. North is considered a positive direction and south is
considered a negative direction. What integer value would represent the
direction and the distance as Jose's traveled back home from Gainesville to
Ocala?
Pls help!!!!!!
Answer:
The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.
Step-by-step explanation:
The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.
Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.
Triangle ABC has coordinates A(-3, 2), B(-2, 4), and C(-2, 1). If the triangle is reflected over the y-axis, what are the coordinates of A'?
Answer:
A=3, 2
B= 2,4
C= 2, 1
If i'm not wrong
Point A(-3,2)) reflected over the y-axis becomes: A'(3,2).
Point B(-2,4) reflected over the y-axis becomes: B'(2,4).
Point C(-2,1) reflected over the y-axis becomes: C'(2,1).
Meg withdrew $300 from her account on Saturday. Then she deposited $174.83 into her account on Sunday. Meg wants to know how much would be in her brother's account if he has double her balance.
- A = -125.17
- B = -250.34
- C None of the above
Pls answer quick!!
−300 + 174.83 = -125.17. A is the answer!
help please!! really easy math. <3
Answer:
y = x+5
Step-by-step explanation:
Answer:
[tex]y = x + 5[/tex]
Step-by-step explanation:
GIVEN :-
Slope of the line (denoted by 'm') = 1y-intercept of the line (denoted by 'c') = 5TO FIND :-
Equation of line in slope-intercept formFACTS TO KNOW BEFORE SOLVING :-
Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → [tex]\boxed {y = mx + c}[/tex]
SOLUTION :-
By using the basic idea of slope-intercept form , the equation of line given in the question is :-
[tex]y = (1 \times x) + 5[/tex]
[tex]=> y = x + 5[/tex]
How do you find whether if it’s a monomial?
Answer:
When it is of the form axm a x m, where a a is a constant and m m is a whole number, it is called a monomial. Some examples of monomial are 8,−2x2,4y3, and11z7 8, − 2 x 2, 4 y 3, and 11 z 7. A monomial is a term of the form axm a x m, where a a is a constant and m m is a positive whole number.
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of x satisfies this equation? 1.5(4)^2x=12 Round your answer to the nearest hundredth. The value of x is .
Answer:
O.75
Step-by-step explanation:
The value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.
What is integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an equation:
[tex]\rm 1.5(4)^2^x=12[/tex]
[tex]\rm (4)^2^x=8[/tex]
[tex]\rm (2^2)^{2x}= 2^3[/tex]
[tex]\rm 2^{4x}=2^3[/tex]
4x = 3 (equating powers of same base)
x = 3/4
Thus, the value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.
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write a sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4
Answer:2sin(8/3x)+3
Step-by-step explanation:
The required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]
What is midline?"It is the horizontal center line about which the function oscillates above and below. "
What is amplitude?"It is the distance between the highest point and midline."
What is time period?"It is the length of one complete cycle of the curve."
What is vertical shift?"It is the distance between midline and x-axis."
What is equation of sine graph?"The generalized equation for a sine graph is as follows:
[tex]y = A~sin(B(x + C)) + D[/tex]
where, amplitude = A
period = 2π/B
phase shift = C
vertical shift = D"
For given function,
A sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4
A = 2
T = [tex]\frac{3\pi}{4}[/tex]
In this case, the midline is 3
⇒ D = 3
Using the generalized equation of sine function,
[tex]\Rightarrow y = A~sin(B(x + C)) + D\\\\\Rightarrow y = 2~sin(\frac{3\pi}{4} (x + 0)) + 3\\\\\Rightarrow y=2~sin(\frac{3\pi}{4} x)+3[/tex]
Therefore, the required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]
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How many milligrams are equal to 3.06 grams?
Answer:
1gm=100mg
3.06gm=306mg
Step-by-step explanation:
please give me brainlest and follow me on
Sheldon spins the two spinners below one time what are the chance he will spin 3 or c ?
Answer:
[tex]P(3\ or\ c) = 0.45[/tex]
Step-by-step explanation:
Given
See attachment for spinner
Required
[tex]P(3\ or\ c)[/tex]
From the first spinner, we have:
[tex]S = \{1,2,3,4,5\}[/tex] --- Sample Space
[tex]n(S)=5[/tex]
So, P(3) is:
[tex]P(3) = \frac{n(3)}{n(S)}[/tex]
[tex]P(3) = \frac{1}{5}[/tex]
[tex]P(3) = 0.20[/tex]
From the second spinner, we have:
[tex]S = \{a,b,c,d\}[/tex]
[tex]n(S) = 4[/tex]
So, P(c) is:
[tex]P(c) = \frac{n(c)}{n(S)}[/tex]
[tex]P(c) = \frac{1}{4}[/tex]
[tex]P(c) = 0.25[/tex]
The required probability is then calculated as:
[tex]P(3\ or\ c) = P(3) + P(c)[/tex]
[tex]P(3\ or\ c) = 0.20 + 0.25[/tex]
[tex]P(3\ or\ c) = 0.45[/tex]
The planet Uranus has a radius of 25,362 km, and planet Mars has a radius of 3,390 km. How many times bigger is the volume of Uranus than Mars? Assume that both planets are spheres.
Round your answer to one decimal place.
Answer:
ranus is a large planet with a volume of 6.833 x 1013 cubic kilometers. You could fit a little more than 63 Earths inside of Uranus, but like the other gas giants, it is not very dense. Comprised mostly of gas, the planet is only about 14.5 times more massive than Earth is.
Step-by-step explanation:
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