Solve for x: (9/4)log4x=10

this is what I got:

log4 (x^(9/4))=10

4^10 = x^(9/4)

(4^10)^(4/9) = (x^(9/4))^(4/9)

4^(4/10) = x

4^(2/5) =x

am I on the right track?

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- October 15th 2012, 06:21 AMRD33Logs
Solve for x: (9/4)log4x=10

this is what I got:

log4 (x^(9/4))=10

4^10 = x^(9/4)

(4^10)^(4/9) = (x^(9/4))^(4/9)

4^(4/10) = x

4^(2/5) =x

am I on the right track? - October 15th 2012, 06:37 AMtopsquarkRe: Logs
- October 15th 2012, 07:08 AMRD33Re: Logs
I think so. I would have to put it into exponential from right? So I would end up with 4^(40/9) = x ?

- October 15th 2012, 07:18 AMSorobanRe: Logs
Hello, RD33!

Quote:

This is what I got:

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Am I on the right track?

Your reasoning is excellent.

Just one error in arithmetic.

I solved it like this:

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- October 15th 2012, 07:29 AMRD33Re: Logs
Ok thank you