# Math Help - Exponential equations?

1. ## Exponential equations?

Solve for $x$ in the inequality $5^x> 25^2^x$.

2. Originally Posted by Kaloda
Solve for $x$ in the inequality $5^x> 25^2^x$.
Take logs:

$x\ln(5)>2x \ln(25)=2x \ln(5^2)=4x \ln(5)$

CB

3. An easier way

$5^x > 25^{2x}$

$5^x > (5^2)^{2x}$

$5^x > 5^{4x}$

$x > 4x$

$0 > 3x$

$0 > x$.