Problem

Evaluate the logarithm \(\log_5{125}\)

Answer

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Answer

By inspection, we can see that \(5^3 = 125\), so \(c = 3\)

Steps

Step 1 ：Recall the definition of a logarithm. The expression \(\log_b{a} = c\) is equivalent to \(b^c = a\)

Step 2 ：In this case, we want to find a number \(c\) such that \(5^c = 125\)

Step 3 ：By inspection, we can see that \(5^3 = 125\), so \(c = 3\)

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