Problem 82
Question
Evaluate each logarithm. $$ \log _{5} 25 $$
Step-by-Step Solution
Verified Answer
The base-5 logarithm of 25 is 2. That is, \(\log _{5} 25 = 2\).
1Step 1: 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?
2Step 2: 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.
Other exercises in this chapter
Problem 81
Evaluate each logarithm. $$ \log _{2} 16 $$
View solution Problem 82
Write each logarithmic expression as a single logarithm. $$ \log x-\log y $$
View solution Problem 83
Write each logarithmic expression as a single logarithm. $$ k \log 5-\log 4 $$
View solution Problem 83
Evaluate each logarithm. $$ \log _{3} \frac{1}{27} $$
View solution