Question

I don’t understand what I’m supposed to do with this question ( Evaluate: log125^5) ?

Answer 1

Answer:

1/3 On edge, I just got it right lol

Answer 2

Step-by-step explanation:

$log_{125} \: 5 \\ \\= \frac{log \: 5 }{log \: {125}} \\(By \: change\:of \:base\:law) \\\\ = \frac{log \: 5 }{log \: { {5}^{3} }} \\ \\ = \frac{log \: 5 }{3 \: log \: { {5}}} \\ \\ = \frac{1}{3} \\ \\ \huge \red { \boxed{ \therefore \: log_{125} \: 5 = \frac{1}{3}}}$