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Chapter 10: Problem 82

Evaluate each logarithm. $$ \log _{5} 25 $$

Short Answer

Expert verified
The base-5 logarithm of 25 is 2. That is, \(\log _{5} 25 = 2\).

Step by step solution

01

Understand the logarithmic expression

The expression \(\log _{5} 25\) is asking the question: to what power must the base number 5 be raised to, in order to get the number 25?
02

Find the exponent

Since 5 raised to the power 2 (i.e., \(5 ^ 2\)) equals 25, we can say that the power you need to raise 5 to get 25 is 2.

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