Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places.
-$\log _ { 4 } 71.14$
A) 17.785
B) 0.325
C) 3.076
D) 1.852

Question

Quizplus · Accepted Answer

The Change-of-Base Formula allows us to rewrite the logarithm in a base that our calculator can handle, typically base 10 or base e. Using base 10, we get $\log _ { 4 } 71.14 = \frac{\log _ { 10 } 71.14}{\log _ { 10 } 4}$. Calculating this gives approximately 3.076.

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