Posted by **Ang** on Friday, October 26, 2007 at 10:20pm.

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.

- Algebra-please check my answers -
**Corin**, Friday, October 26, 2007 at 10:54pm
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.

- Algebra-please check my answers -
**drwls**, Saturday, October 27, 2007 at 3:15am
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

- Algebra - 1 -
**Thao**, Monday, March 17, 2008 at 4:55pm
1,2,3,4

- Algebra-please check my answers -
**aaron**, Sunday, May 10, 2009 at 4:04am
what is x

4 - x/4 = 5

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