# 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..

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

$3log_57=log_5x$

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

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