Algebra-please check my answers

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.

asked by Ang
  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.

    posted by Corin
  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

    posted by drwls
  3. 1,2,3,4

    posted by Thao
  4. what is x

    4 - x/4 = 5

    posted by aaron

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