*please help! lots of points and brainiest to right answer!2^x+1 = 5^3x
find the exact solution for x using logarithms and isolating x

Answers

Answer 1

[tex]\\ \rm\Rrightarrow 2^{x+1}=5^{3x}[/tex]

[tex]\\ \rm\Rrightarrow ln2^{x+1}=ln5^{3x}[/tex]

[tex]\\ \rm\Rrightarrow (x+1)ln2=3xln5[/tex]

[tex]\\ \rm\Rrightarrow xln2+ln2=3xln5[/tex]

[tex]\\ \rm\Rrightarrow ln2=3xln5-xln2[/tex]

[tex]\\ \rm\Rrightarrow ln2=x(3ln5-ln2)[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{ln2}{3ln5-ln2}[/tex]


Related Questions

Someone please help me I think its the third one I am just not entirely sure. I will give 5 stars and thanks!

Answers

Answer:

the third one is the correct answer

The gymnastics center where Shannon works has a rectangular pit filled with foam. The pit is 6 meters long, 5 meters across, and 3 meters deep. What is the volume of the pit?

Answers

Answer:

90 meters

Step-by-step explanation:

Volume = length x width x height

V = 6 x 5 x 3

V = 90

what are the products of these problems: 4.3 x 7.2 0.3 x 24 0.9x1

Answers

Answer:

1. 30.86 2. 7.2

Step-by-step explanation:

Hopes this helps

Answer:

4.3 × 7.2 = 30.960.3 × 24 = 7.20.9 × 1 = 0.9

Step-by-step explanation:

1. Simple multiplication. Multiply 4.3 and 7.2

2. Simple multiplication. Multiply 0.3 and 24

3. Simple multiplication. Multiply 0.9 and 1

==>> Result 1: 30.96

==>> Result 2: 7.2

==>> Result 3: 0.9

£35 in the ratio 3:4

Answers

Answer:15 and 25

Step-by-step explanation:

3:4= 7

35/7=5

5x3=15

5x4=20

Brainlisted for right answer!!! 25 points!!! Please help me!!! I really need this done!!!

Answers

Answer:

Step-by-step explanation:

While I can not give you the exact answer as it is a graph, it's worth noting that the function is in f(x) = mx + b form.

This means the first point with an x coordinate of 0 will start at 6, and for each increase in one on the x-axis, we add 2.4.

So, the first coordinate is (0,6), the next is (1,8.4), and so on until you reach the end. That shouldn't take very long provided you can compute addition mentally.

Hope this helps and Good Luck

graph the line with slope 8 and y-intercept -9

Answers

You want the first point to be on the y-axis (vertical) at -9. Then from there, you plot the slope which is rise over run. So, from -9, you go up 8 and over 1 and continue. Your next point is going to be at (-1,-1). Then you draw a line through those points.

I have attached the question below, if you could help me, I would really appreciate it.

Answers

Answer:

13/2

see the picture above

Answer:

[tex] \frac{4x - 1}{2} = x + 7 \\ 4x - 1 = 2(x + 7) \\ 4x - 1 = 2x + 14 \\ 4x - 2x = 1 + 14 \\ 2x = 15 \\ x = \frac{15}{2} \: or \: x = 7.5[/tex]

como se escribe 454,505,505 en letra​

Answers

Cuatrocientos cincuenta y cuatro millones quinientos cinco mil quinientos cinco

Answer:

148.16en ltera

Step-by-step explanation:

Write the equation of a square root function that has the following graph.

Answers

9514 1404 393

Answer:

  g(x) = √(x -5) +7

Step-by-step explanation:

To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...

  g(x) = f(x -h) +k

To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...

  g(x) = √(x -5) +7

Based on a poll
, among adults who regret getting tattoos, 14% say that they were too young when they got their tattoos. Assume that six adults who regret getting
tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
a. Find the probability that none of the selected adults say that they were too young to get tattoos
(Round to four decimal places as needed.)

Answers

The probability that none of the selected adults say that they were too young to get tattoos is 0.3512

What is Binomial probability distribution?

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

14​% say that they were too young when they got their tattoos.

So, p= 0.14.

Six adults who regret getting tattoos are randomly​ selected

So, n=6.

Now, the probability that none of the selected adults say that they were too young to get tattoos.

P(X=0) = [tex]C_ {6.0} (0.14)^{0} (0.86)^{6}[/tex]

             = 0.3512

Learn more about this concept here:

https://brainly.com/question/24123162

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1.7 PS-6
Quesu
Challenge You buy 3.17 pounds of pears, 1.45 pounds of oranges, and 1.77 pounds of grapes. What
is your total bill?
Grocery Store Prices
Item
Cost
Pears
$0.99 per
pound
Oranges $1.19 per
pound
Grapes
$1.29 per
pound
Your total bill is $
(Round to the nearest cent as needed.)
Ento

Answers

Step-by-step explanation:

the price of:

3.17 pounds of pears = 3.17 × 0.99

= $3.14

1.45 pounds of oranges = 1.45 × $1.19 = $1.73

1.77 pounds of grapes = 1.77 × $1.29 =$2.28

so , the total bill = 3.14+ 1.73+ 2.28 = $7.15

Find prices of all

pears

3.17(0.99)$3.14

Oranges

1.19(1.45)$1.73

Grapes

1.77(1.29)$2.28

Total

2.28+1.73+3.14$7.15

Determine whether the triangles are similar

Answers

Step-by-step explanation:

ur are choosing correct option as,

W = Y ( 90° given )

VW = YZ ( as both are || to eachother so their length is same )

angle X = X ( vertically opposite angle)

therefore, WVX = ZYX are congruent according to SAS congruency rule/criteria.

hope this answer helps you dear..take care and may u have a great day ahead and also ur exam/test goes well!.

Which table represents a linear function?

Answers

Answer:

Table 1 (leftmost)

Step-by-step explanation:

A linear function has a common difference between all of the x-values. This means that all the x-values change by the same amount relative to the change in y. In this case, the x-value increases by 1/2 every time that y increases by 1. The other tables do not work because their change is inconsistent. There is no number being added each time. Therefore, they are not linear. If you were to graph these tables, only table 1 would make a straight line.

HELP!
Claymore electronics sold 81 computers and 52 printers last week. Twenty-five separate customers purchased computers and printers. How many customers purchased only computers.

Answers

Answer:

56!

Step-by-step explanation:

HOPE THIS HELPS

HAVE  A NICE DAY!!

MARK BRAINLIEST IF POSSIBLE PLS! :D

What is the slope of the line?

−9/5


−5/9


9/5


5/9

Answers

Pick two points on the graph
(1, -4) and (-4,5)

Solve for slope
m = 5 — -4/ -4 - 1
M = 9/-5

Answer is the first one

Answer:

-9/5

Step-by-step explanation:

(-3, 3) & ( 2, -4) -9/5 rise over run and negative because its in negative axis

X^2+x+2=0. Solve for x

Answers

answer in screenshot :)

Answer:

no solution

Step-by-step explanation:

Steps are in order in the images below;

Last step:

there are no real solutions because the discriminant is negative

The square root of a negative number is not a real number

=−7

Help me and there will be an apple at your doorstep. (There might be some shipping issues)


Fill in the blank.

Answers

Answer:

9.30 maybe

Step-by-step explanation:

I just did mathz

Answer:

9.30

Step-by-step explanation:

if 1/2gallon of paint cover 1/6 of a wall then how much paint is needed for the entire wall?​

Answers

Answer:

0.5 gallons paints 1/6of the wall..

0.5+0.5+0.5+0.5+0.5+0.5=> 3 gallons paint the wall

Plz help, I don’t understand

Answers

A, 1-7 2-14 4-28 8-56 -70

Super hero academy's ratio of boys to girls is 5:3. If 7th grade has 150,
7th grade students how many boys and girls are in 7th grade?

Answers

Answer:

94  boys and 56 girls.

Step-by-step explanation:

150/8 = 18.75 = x

b=x*5 = 94

g=x*3 = 56

b+g=150

Looking at the question, we see that the ratio of boys to girls is 5:3, the total is 8. We are trying to find what the ratio of boys to girls is while the total is 150. Now, we can easily divide 150 by 8, finding one part of our answer! 150 ÷ 8 ≈ 18 [tex]\frac{3}{4}[/tex]. now to multiply that by the amount of boys and girls (5:3), 18 [tex]\frac{3}{4}[/tex]  × 5 = 93  [tex]\frac{3}{4}[/tex]  and 18 [tex]\frac{3}{4}[/tex] × 3 =  56 [tex]\frac{1}{4}[/tex]. After we round we get 94:56.

-----------

I hope this helps you! If you can't understand, try to comment and I'll try my best to help. Thanks! -Doodle

-----------

what is the product of 0.35 and 0.46? (with solution please)

Answers

Step-by-step explanation:

Hope this helps you ☺️☺️☺️

What is the answer to 4(-x + 4) =12

Answers

The answer is

Solution:
-4x + 16 = 12
-4x = 4
x = -1

Hey there!

4(-x + 4) = 12

4(-x) + 4(4) = 12

-4x + 16 = 12

SUBTRACT 16 to BOTH SIDES

-4x + 16 - 16 = 12 - 16

CANCEL out: 16 - 16 because it gives you 0

KEEP: 12 - 16 because it helps solve for the x-value

NEW (temporary) EQUATION: -4x = 12 - 16

12 - 16 = -4

NEW EQUATION: -4x = -4

DIVIDE -4 to BOTH SIDES

-4x/-4 = -4/-4

CANCEL out: -4/-4 (the LEFT side) because that gives you 1

KEEP: -4/-4 (the RIGHT side) because it gives you the result of the x-value

x = -4/-4

x = 1

Therefore, your answer is: x = 1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A square has side of length y units what is the area?

Answers

We know to find the answer it is l x w
And since it is a square both the l and w are both “y” units so your answer is
y x y or simplified to y^2
(^ symbol means to the power of two)

3. At a cross country race, Ariela's heart beats 120 times in 1 minute. How many times does i
beat in 45 seconds?

Answers

Answer:

vgbsmihgdjuvs

ihfriguiuvgrlgr

How to do q6 (a) and (b)? please help!!!

ignore my draft haha

Answers

Question 6

a)

The sides of small squares are x and y, therefore the side of the big square is x + y.

The shaded region has an area:

(x + y)² - x² - y² = x² + 2xy + y² - x² - y² = 2xy

b)

After the dimension changes the new side lengths are:

x - 2 and y + 2

Since x and y are integers greater than 1, the minimum value of x is 2 (x = 1 doesn't work as we get negative value of x - 2) and same of y is 3 as y > x.

With this the smallest possible area of the shaded region is:

2xy = 2*2*3 = 12 cm²

a local hamburger shop sold a combined total of 641 hamburgers and cheeseburgers on sunday. there were 59 fewer cheseburgers sold than hamburgers. how many hamburgers were sold on sunday?

Answers

Answer: 700 Hamburgers

Answer:

I believe the answer is 700

Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
2 = 4y - 10
7x +12y = 7

Answers

The more convenient method to solve the given system of equations is by elimination.

Solving systems of linear equation

From the question, we are to determine whether it would be more convenient to solve the system of equations by substitution or elimination

The given system of equations is

2 = 4y - 10     ----------- (1)

7x +12y = 7    ----------- (2)

In equation (1), we can see that there is no variable x in the equation. Thus we can solve for y and then substitute the value of y into equation (2).

That is,

From equation (1)

2 = 4y - 10

2 + 10 = 4y

12 = 4y

12/4 = 4y/4

3 = y

y = 3

Now, we can substitute the value of y into equation (2) to determine the value of x

Hence, the more convenient method to solve the given system of equations is by elimination.

Learn more on Solving system of linear equations here: https://brainly.com/question/13729904

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In the given figure ST | PQ, If 2PS = 3SR and ST = 9 then find PQ
pls answer.
40 points.​

Answers

Answer:

Ar.ofΔPST

=

4

9

Step-by-step explanation:

In figure ST || QR

and PS= 3 cm & RS= 4cm

In ΔPST & PQR

QPR=∠TPS [Common]

∠PRQ=∠PST [corresponding]

ΔPQR∼ΔPST [AA similarity]

Now

In similar triangles ratios of the area of triangles is equal to the ratio of the square of corresponding sides.

Ar. ofΔPRQ

Ar.ofΔPST

(

3+4

3

)

2

=

49

9

Hence [

Ar.ofΔPRQ

Ar.ofΔPST

=

49

9

]

Use the distributive property to remove the parentheses.
-3(-6y +3w-2)

Answers

Answer:

18y-9w+6

Step-by-step explanation:

-3*-6y=18y

-3*3w=-9w

-3-2=6

so, 18y-9w+6

Answer:

18y-9w+6

Step-by-step explanation:

The distributive property tells that because the -3 is outside of the parentheses, we multiply all values inside the parentheses by -3.

So, -6y * -3 is 18y because two negatives cancel out, 3w * -3 equals -9w, and -2 * -3 is 6, again because two negatives cancel each other out.

We put this all together, the parentheses and -3 is removed, and the expression becomes 18y-9w+6.

Hey !! Can anyone help me with this question please and thank you !

Answers

Answer:

x = 22

Step-by-step explanation:

6x+3 = 7x - 19

22 = x

good day

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