Question 193087
No, it isn't!

Given:
{{{5^(10x) = 125}}} Take the logarithm of both sides.
{{{log((5))^(10x) = log((125))}}} Apply the power rule for logs to the left side.
{{{10x*log((5)) = log((125))}}} Divide both sides by log(5)
{{{10x = log((125))/log((5))}}} Evaluate the right side with your calculator.
{{{10x = 3}}} Divide both sides by 10.
{{{highlight(x = 0.3)}}}