Question

Which of the following is equivalent to log125 25 ?

Answer 1

\[\log _{125}25\]

Answer 2

choices?

Answer 3

1.076
3/2
2/3
2/5

Answer 4

\[\log_{125}(25)\]


\[\frac{\log_{10}(25)}{\log_{10}(125)}\]


\[\frac{\log_{10}(5^2)}{\log_{10}(5^3)}\]


\[\frac{2\log_{10}(5)}{3\log_{10}(5)}\]


\[\frac{2}{3}\]


So \[\log_{125}(25)=\frac{2}{3}\]