Solve the equation (3^x/2) (3^x/4) = 3^6

x =

Solve The Equation (3^x/2) (3^x/4) = 3^6x =

Answers

Answer 1
Answer :
x=18√2 or -18√2

Step by step :
9/8x^2 =729
Divide both sides by 9/8
x^2 = 648
Take square roots
x = ±√648
x = 18√2 or -18√2
Answer 2

Answer:

x = √48

Step-by-step explanation:

[tex] ({3}^{ \frac{x}{2} } )( {3}^{ \frac{x}{4} }) = 3 {}^{6}[/tex]

[tex] {3}^{ \frac{x}{2} \times} {}^{ \frac{x}{4} } = 3 {}^{6} [/tex]

[tex]3 {}^{ \frac{ {x}^{2} }{8} } = 3 {}^{6} [/tex]

[tex] \frac{ {x}^{2} }{8} = 6[/tex]

[tex] {x}^{2} = 6 \times 8[/tex]

[tex] {x}^{2} = 48[/tex]

[tex]x = \sqrt{48} [/tex]


Related Questions

Which of the following ordered pairs make this equation true? Y = 2x - 7 A. (1,9) B. (-3, 4) C. (4,1) D. (-1, 5)​

Answers

Answer:

(4,1)

Step-by-step explanation:

Using substitution you can determine that 2*4-7 is in fact equal to 1

Please help me?! Solve for x

Answers

x= 8

90= 10x+10

subtract 10 from each side

80=10x

x=8

Answer:

x=8

Step-by-step explanation:

Each of the angles in a rectangle equal 90, so you would set 10x+10 equal to 90.

10x+10=90

10x=80

x=8

6) In 3 seconds you can fill up a pool with 42 gallons of water. If this is a proportional
relationship fill in the table below.
Time (sec) 1/2/3/4/5
Amount of /. /42/. /. /
Water (gal)

Answers

Answer:

1/2/3/4/5

14/28/42/56/70

Step-by-step explanation:

divide the 42 gallons by 3 (since 3 seconds for 42 gallons) to find the rate of change. the answer is 14. then just do the number times 14 all the way. and yes this is proportional

. A bag contains 7 orange beads, 3 red beads, and 5 white beads. What is the probability of
drawing a white bead?

Answers

Answer:

Work shown below!

Step-by-step explanation:

White bead = [tex]\frac{5}{15} =\frac{1}{3}[/tex]

Answer:

a 33.3333333% chance

Step-by-step explanation:

we do 7+3+5= 15 (the denominator)

and so the amount of white beads in total is 5/15

5÷15+100= 33.333333333 and so on percent

Find a formula for the n th term, T n , of the following arithmetic sequence: 13 , 17 , 21 , 25 , . . . Hence, or otherwise, find the value of the 40th term, T 40 .

Answers

Answer:

            tₙ = 4n + 9             t₄₀ = 169

Step-by-step explanation:

17-13=4 and 21-17=4 and 25-21=4  so d=4

[tex]t_n=t_1+d(n-1)\\\\t_1=13\\d=4\\\\t_n=13+4(n-1)\\\\t_n=13+4n-4\\\\\underline{t_n=4n+9}[/tex]

[tex]t_{40}=4\cdot40+9=160+9=169[/tex]

The legend on a map states that
1 inch is 200 miles. If you measure
11 inches on the map, how many
miles would the actual distance be?
Actual distance = [? ] miles

Answers

11 inches
= 11 x 200 miles
= 2200 miles

Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5) Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?

Answers

Answer:

(-8) + (-8) + (-8) + (-8)

Step-by-step explanation:

Since Yan is descending ; we represent his movement as being negative.

Number of rungs descended before stopping = 4

Number of stops = 8

Given that no extra steps was taken ;

Number of ladder rungs descended :

4 rungs per stop for 8 stops

- 4 * 8 = - 32 rungs

Another way to write the product :

Number of stops added in number of rungs descended :

(-8) + (-8) + (-8) + (-8)

I am lost if anybody that understand that question can help me please

Answers

Answer:

Step-by-step explanation:

Slope is the difference in y values over the difference in x values

another way to look at it is [tex]\frac{rise}{run}[/tex]

If the slope is 0.28, that means that

[tex]rise = 0.28(run)[/tex]

We're told that the section rises by 1 unit

[tex]1 = 0.28(run)\\[/tex]

[tex]run = \frac{1}{0.28} = 3.571428571 = 3.57[/tex]

Also this one if not a problem.​

Answers

Answer:

we dont have paper

Step-by-step explanation:

the answer would be (2,5) :)

Paula purchased adult and child tickets for the carnival. Tickets cost $19.95 for each adult and $9.95 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Paula purchased.

Answers

Answer:

19.95x+9.95y= Total cost

Step-by-step explanation:

HELP PLEASE ANSWER FULL QUESTION

Answers

Answer:

the constant of proportionality is the ratio between two directly proportional quantities.

b. k=y/x or y = k*1/x

PLEASE HELP!!!

Select all that apply. Which of the following statements are true of this equation? Select all that apply. 5 1/6 divided by 2 5/12 = 2 4/29

The dividend is 5 1/6

The divisor is 5 1/6

The dividend is second number in this equation.

The quotient is correct.

Answers

Step-by-step explanation:

the dividend divided by the divisor equals the quotient

The dividend is [tex]5\frac{1}{6}[/tex] and the divisor is [tex]2\frac{5}{12}[/tex] and the quotient is [tex]2\frac{4}{29}[/tex]. Therefore, option A is the correct answer.

The given equation is [tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex].

What is the division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

[tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex]

⇒ 31/6 ÷ 29/12 = 62/29

⇒ 31/6 × 12/29 = 62/29

⇒ 62/29 = 62/29

Here, the dividend = [tex]5\frac{1}{6}[/tex] and the divisor = [tex]2\frac{5}{12}[/tex] and the quotient = [tex]2\frac{4}{29}[/tex]

Therefore, option A is the correct answer.

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What is the image of (1,6) after a reflection over the y-axis?

Answers

Answer: -1,6 maybe

Step-by-step explanation:

Its (-1,6) definately

How does line EF relate to line AC?

Answers

Answer:

they both have the same angles

Step-by-step explanation:

Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year. When will they next both purchase new cars in the same year?

Answers

Answer:

12 years

Step-by-step explanation:

Given that Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years.

Assuming that they purchase new cars together after n years.

So, n must a multiple of 4 as well as multiple 6, i.e the number n is the lowest multiple (LCM) of 4 and 6.

As LCM od 4 and 6 is 12, so n=12.

Hence, after 12 years they will purchase news cars together.

I need the value of X

Answers

Answer:

x=18

Step-by-step explanation:

6x-3 and 75 are not equal to each other. If you look closer you can see that 75 is an acute angle making it less than 90 degrees and 6x-3 is an obtuse angle meaning it is bigger than 90 degrees. Therefore you add both 75 and 6x-3 to get 180 because 180 is equal to a straight line and an acute angle and an obtuse angle both form a straight angle when together. So your problem would be 75+(6x-3)=180

-3y > 9 or 2y - 6> 2 plz solve the inequality

Answers

Answer:

y > 4

Step-by-step explanation:

if you are doing 2y-6 >2, firstly move the constant to the right to get 2y > 2+6. Then calculate the sides, you get 2y > 8. Divide both by 2 and get y > 4

Answer:

-3y>9= y<-3

2y-6>2=y>4

Evaluate: 6²- 3³

Help I am too dumb to do it-

Answers

Answer:

12-9=3

Step-by-step explanation:

Answer:

27

Hope this helps you out!

Help please? *worried noises*

Answers

the answer is y=45 simply both sides of the equation then isolate the variable

A rectangular enclosure at the zoo is 35 feet long by 18 feet wide. The zoo wants to double the area of the enclosure by adding the same distance x to the length and width. Write and solve an equation to find the value of x. What are the dimensions of the enclosure?

Answers

Answer:

the value of x is 10

Step-by-step explanation:

The new length is 35+10=45 and the new width is 18+10=28.

What is Area of Rectangle?

Area of rectangle is length times of breadth.

Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)=1260

630+35x+18x+x2=1260

x2+53x+630-1260=0

x2+53x-630

Now use the quadratic formula we get

x=10.

The new length is 35+10=45

The new width is 18+10=28.

Hence the new length is 35+10=45 and the new width is 18+10=28.

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Write a related number sentence
using the same addends and sum.
55 + 13 = 68

Answers

Answer:

68-13=13 and 68-55 = 13

Step-by-step explanation:

Answer:

68-13=55 or 68-55=13

Step-by-step explanation:

is something like this what u mean

what’s the slope for these two lines i need help for brainlist

Answers

Answer:

green line: y = 1x + 6

blue line: y = 1x + 3

Step-by-step explanation:

I did give an explanation her but someone deleted it. :(

Evaluate: -1/4 + 17 + (4/5)+ 1/4 + 13 + (-4/5)

Answers

Answer:

30

Step-by-step explanation:

= -1/4 + 17 + (4/5)+ 1/4 + 13 + (-4/5)  <-- Cancel out 1/4 to -1/4 and 4/5 to -4/5

= 17 + 13

= 30


Write the equation of a line passing through the given point that is
perpendicular to the given line. 3.x – 8y = 16; (-3, 1)

Answers

Answer:

-8x-21=3y or -8/3x-7=y or 8x+y+21=0

Step-by-step explanation:

First find the slope of 3x-8y=16.

3x-16=8y (divide both sides by 8 so that y is isolated)

3/8x-2=y The slope is 3/8. The perpendicular slope is the negative reciprocal of 3/8, which is -8/3

Using the points, the equation of the line can be found.

(-8/3=y-1/x-(-3))3(x-(-3) (3(x-(-3) is the common denominator

This equals -8x-24=3y-3, add three to both sides which equals -8x-21=y.

The other answers are written in slope y-intercept form and general form.

*Note: x-(-3) can be written as x+3

Mrs. Simpson's class has 10 girls and 15 boys. What is the ratio of girls to boys?

Answers

Answer:

5:3

Step-by-step explanation:

this is because 15:10 can be divided by 5 on each side

Answer:

2:3

Step-by-step explanation:

Girls:Boys = 10:15Simplify: 10:15 = 2:3

I hope this helps!

y = -x + 2 identify the slope and y intercept and graph

Answers

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Answer:A rule for a function can be written by analyzing a graph. Using slope-intercept form, standard form, and point-slope form, functions can be written from a given graph.

To write a function in slope-intercept form given a graph, determine the slope and y-intercept of the graph and then substitute these values into the formula y = mx + b. If it is not possible to determine the y-intercept from the graph, determine a different point, substitute it into the equation and solve for b.

Example Find the function rule for the graph using the slope-intercept form.Step 1. Choose any two points to find slope. (-3, 1) & (3, -3) Find the value of the y-intercept.Step 3. Substitute the m and b values into y = mx + b to create the function rule.

Step-by-step explanation:

A computer store buys a computer system at a cost of ​$572.40. The selling price was first at $954​, but then the store advertised a 20% markdown on the system. Answer parts a and b.

Answers

Answer:

The sale price is $763.20

The price for club members is $610.56

The current selling price is $763.20, and the cost to members with an additional  10% reduced rate is $686.88.

What is a percentage?

A percentage is a ratio or number that may be expressed as a fraction of one hundred. And the sign for it is "%."

Given, a computer store buys a computer system at a cost of ​$572.40.

And the selling price was first at $954​, but then the store advertised a 20% markdown on the system.

To find the current sale price:

Current sales price;

use percentage formula,

= $954 - (20% × $954)

= $954 - (0.2 × $954)

= $954 - $190.80

= $763.20

To find the cost to club members at 10% additional reduced price:

use percentage formula,

= $763.20 - (10% × $763.20)

= $763.20 - (0.1 × $763.20)

= $763.20 - $76.32

= $686.88

Therefore, the current sale price is $763.20, and it will cost $686.88 to the members.

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What is 5/6 - 4/9 in Simplest form ?

Answers

Answer:

is it multiple choice?

Which of the following best explains why a complex number z = a + bi and its polar form represent the same number?

Answers

Answer:

C on Edge

Step-by-step explanation:

Edge2020

Answer:

C

Step-by-step explanation:

right on edge, hope this helps

What two numbers have a product of 36 and a sum of -13?

Answers

Answer:

nothing

Step-by-step explanation:

a product of 2 positive numbers always shows a positive value if we add them

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