Find the logarithm
\[
\log _{125} 5
\]
\[
\log _{125} 5=
\]
(Type a fraction.)

Answer

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Answer

Final Answer: \(\log _{125} 5= \boxed{\frac{1}{3}}\)

Steps

Step 1 ：The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In this case, we need to find the exponent to which 125 must be raised to get 5.

Step 2 ：We know that 125 is equal to \(5^3\), so we can rewrite the logarithm as \(\log_{5^3} 5\).

Step 3 ：This simplifies to \(\frac{1}{3}\), because \(5^{\frac{1}{3}} = 5\).

Step 4 ：Final Answer: \(\log _{125} 5= \boxed{\frac{1}{3}}\)

Find the logarithm\[\log _{125} 5\]\[\log _{125} 5=\](Type a fraction.)

Answer

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Find the logarithm
\[
\log _{125} 5
\]
\[
\log _{125} 5=
\]
(Type a fraction.)