# Math Help - Logarithms: Evalute or simplify

1. ## Logarithms: Evalute or simplify

Evaluate or simplify

5^(3log57)

2. Use 2 log laws.

$a\log_bc = \log_bc^a$

then

$a^{\log_ab^c} = b^c$

3. Originally Posted by danielh9103
Evaluate or simplify

5^(3log57)
Simplifying..

$5^y=x\ \Rightarrow\ y=log_5x$

$3log_57=log_5x$

$log_5\left(7^3\right)=log_5x$

4. @Archie Meade

i feel it can be simplified more... or is that the final answer?

obviously you can simplify 7^3 or would that be incorrect?

5. Originally Posted by habibixox
@Archie Meade

i feel it can be simplified more... or is that the final answer?

obviously you can simplify 7^3 or would that be incorrect?
Yes, habibixox,

just evaluating that power gives the very final value of x, the last calculation required,
but that preceding piece is all that is required to say goodbye to the logarithm part.