Solve the equation by expressing each side as a power of the same base and then equating exponents.

Question

9^(x - 9)/8= sqrt of 9
i got 13

4^(x + 10) = 8^(x - 6)
i got 38

Solve the exponential equation. Express the solution set in terms of natural logarithms.

2^8x = 4.5
i got {ln 4.5/8 ln 2}

Solve the exponential equation. Express the solution set in terms of natural logarithms.

4^(x + 4) = 5^(2x + 5)-This question I don't understand.

Answer 1

9^(x - 9)/8= sqrt of 9
i got 13

Correct!
______________________
4^(x + 10) = 8^(x - 6)
i got 38

Correct! Here's my work:

4^(x+10)=(2^2)^(x+10)
8^(x-6)=(2^3)^(x-6)
2(x+10)=3(x-6)
Distribute
2x+20=3x-18
-x=-38
x=38
______________________
Solve the exponential equation. Express the solution set in terms of natural logarithms.

2^8x = 4.5
i got {ln 4.5/8 ln 2}

Correct! I checked the answer with my calculator for you. It's right! :-)

______________________
Solve the exponential equation. Express the solution set in terms of natural logarithms.

4^(x + 4) = 5^(2x + 5)-This question I don't understand.

I'm not sure I do either. I'll post back if I figure it out. Sorry.

Answer 2

4^(x + 4) = 5^(2x + 5)
Take logs to base e of both sides
(x+4) ln4 = (2x+5)ln 5
(x+4)/(2x+5) = (ln5)/(ln4)= 1.161
Solve for x

Answer 3

1,2,3,4

Answer 4

what is x

4 - x/4 = 5