Algebraplease check my answers
posted by Ang on .
Solve the equation by expressing each side as a power of the same base and then equating exponents.
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.

9^(x  9)/8= sqrt of 9
i got 13
Correct!
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4^(x + 10) = 8^(x  6)
i got 38
Correct! Here's my work:
4^(x+10)=(2^2)^(x+10)
8^(x6)=(2^3)^(x6)
2(x+10)=3(x6)
Distribute
2x+20=3x18
x=38
x=38
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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! :)
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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. 
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 
1,2,3,4

what is x
4  x/4 = 5