Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places.
-$\log _ { 3.2 } 57$
A) 3.476
B) 1.756
C) 17.813
D) 0.288

Question

Quizplus · Accepted Answer

The Change-of-Base Formula allows us to rewrite the logarithm in a form that can be calculated using a standard scientific calculator: $\log _ { 3.2 } 57 = \frac{\log _ { 10 } 57}{\log _ { 10 } 3.2}$. Using a calculator to evaluate this expression gives approximately 3.476.

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