Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places.
-$\log _ { 8 } 0.537$
A) -0.299
B) 14.898
C) -3.344
D) -0.270

Question

Quizplus · Accepted Answer

The Change-of-Base Formula states that $\log_b a = \frac{\log_c a}{\log_c b}$. Using base 10, $\log_8 0.537 = \frac{\log_{10} 0.537}{\log_{10} 8}$. Calculating this gives approximately -0.299.

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