Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to two decimal places.
-$\log _ { 3 } 25$
A) 0.34
B) 2.93
C) 1.10
D) 3.22

Question

Quizplus · Accepted Answer

The Change-of-Base Formula allows us to rewrite the logarithm in terms of bases we can handle more easily, typically using base 10 or base e. For this problem, we can use base 10: $\log _ { 3 } 25 = \frac{\log _ { 10 } 25}{\log _ { 10 } 3}$. Using a calculator to evaluate this gives approximately 2.93.

Use the Change-Of-Base Formula and a Calculator to Evaluate the Logarithm