How would this be simplified?

Attachment 24350

I understand what would be done if the base on the logarithm were 9 but what happens in a case like this?

Any help would be greatly appreciated.

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- Jul 26th 2012, 04:06 AMPernelloLogarithmic Expression
How would this be simplified?

Attachment 24350

I understand what would be done if the base on the logarithm were 9 but what happens in a case like this?

Any help would be greatly appreciated. - Jul 26th 2012, 04:23 AMemakarovRe: Logarithmic Expression
Use the fact that $\displaystyle (x^a)^b=(x^b)^a=x^{ab}$.

- Jul 26th 2012, 04:24 AMProve ItRe: Logarithmic Expression
- Jul 26th 2012, 04:31 AMNeerajRe: Logarithmic Expression
Attachment 24354

see formula in image, so that u can clear what is the answer

9 log3 20 = 20 log3 9

= 20 log3 (32)

= 20 2 log 33

= 20 2 *1

=20 2 = 400 - Jul 26th 2012, 04:38 AMWilmerRe: Logarithmic Expression
x = log(3)20 = log(20) / log(3) ; 9^x = ?