Ask question

Ask question

All categories

3 years ago

11

Which is the solution to 5^x=8^x-7

2 answers:

Nadya [2.5K]3 years ago

6 0

Answer:

x = 30.97 ( to nearest hundredth).

Step-by-step explanation:

5^x = 8^x-7

Taking logs of both sides:-

ln 5^x = ln 8^x

By the law of logarithms:-

x ln 5 = (x - 7) ln 8

x / (x - 7) = ln 8 / ln 5

x / (x - 7) = 1.292

x = 1.292x - 9.044

1.292x - x = 9.044

x = 9.044 / 0.292

= 30.97 (answer)

Alexandra [31]3 years ago

5 0

Answer:

OPTION C = 30.9702

Step-by-step explanation:

You might be interested in

Check My answers!! Algebra

9966 [12]

1.) 4 - t = 3(t - 1) - 5
4 - t = 3t - 3 - 5
4 - t = 3t - 8
3t + t = 4 + 8
4t = 12
t = 12/4 = 3

2.) 8x - 2(x + 1) = 2(3x - 1)
8x - 2x - 2 = 6x - 2
6x - 2 = 6x - 2
0 = 0
solution is identity.

3.) 3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
3c - 2c = -12 + 6
c = -6

4.) 0.5(m + 4) = 3(m - 1)
0.5m + 2 = 3m - 3
3m - 0.5m = 2 + 3
2.5m = 5
m = 5/2.5 = 2
m = 2

5 0

3 years ago

The slope of the line containing the points (-2,3) and (-3,1) is

Irina18 [472]

To calculate the slope containing two points, we can use that formula:

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}$

"m" represents the slope and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}\\\\\\ \mathsf{m=\dfrac{1-3}{-3-(-2)}}\\\\\\ \mathsf{m=\dfrac{-2}{-3+2}}\\\\\\ \mathsf{m=\dfrac{-2}{-1}}\\\\\\ \mathsf{m=\dfrac{2}{1}}\\\\\\ \underline{\mathsf{m=2}}$

The answer is 2 uc.

5 0

2 years ago

Please help with 4-9!!!

olya-2409 [2.1K]

sdfsdf

4) $\frac{3m+15}{2} = 22.5$

Multiply by 2 on both sides

3m + 15 = 45

Subtract both sides by 15

3m = 30

Divide both sides by 3

so m = 3

5) $21= \frac{q+35}{8}$

Multiply both sides by 8

168 = q + 35

Subtract both sides by 35

q = 133

6) $14 + \frac{4z}{-11} = 66$

Subtract 14 from both sides

$\frac{4z}{-11} = 52$

multiply by -11 on both sides

4x = 572

Divide both sides by 4

x= 143

7) $\frac{3}{5} c - 6 = 9$

Add 6 on both sides

$\frac{3}{5} c = 15$

Multiply both sides by 5

3c = 75

Divide both sides by 3

c = 25

8) $\frac{t}{-2} + 17 = -9$

Subtract both sides by 17

$\frac{t}{-2} =26$

Multiply both sides by -2

t = -52

9) $-6 = \frac{5p-(-2)}{-7}$

Multiply both sides by -7

42= 5p + 2

subtract 2 from both sides

40 = 5p

Divide both sides by 5

so p = 8

6 0

3 years ago

Read 2 more answers

6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.

vova2212 [387]

Answer:

The volume of the prism is $1,299\ in^{3}$

Step-by-step explanation:

we know that

The volume of the prism is equal to

$V=BL$

where

B is the area of the triangular base

L is the length of the prism

we have

$L=30\ in$

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

$B=\frac{1}{2}(10)^{2} sin(60\°)$

$B=25\sqrt{3}\ in^{2}$

substitute

$V=(25\sqrt{3})(30)=1,299\ in^{3}$

4 0

3 years ago

F(x)=(5x+3)(x−2)(3x+7)(x+5) has zeros at x = -5, x = -7/3, x = 2

musickatia [10]

The sign of f on the interval -7/3 < x < -3/5 is always positive.

<h3>How to solve for the sign on the interval</h3>

We have the equation

(5x+3)(x−2)(3x+7)(x+5) > 0

Now when f(x) > 0

Then -7/3 < x < -3/5

This would tell us that the sign would become positive when it changes from the less than to greater than sign

<h3>Complete Question</h3>

f(x)=(5x+3)(x-2)(3x+7)(x+5) has zeros at x=-5, x=-7/3, x=-3/5, and x=2

What is the sign of f on the interval -7/3<x<-3/5?

answer choices

f is always positive on the interval

f is always negative on the interval

f is sometimes positive and sometimes negative on the interval

f is never positive or negative on the interval

Read more on polynomials here:

brainly.com/question/2833285

#SPJ1

5 0

2 years ago