Use a calculator and the change-of-base formula to find the logarithm to four decimal places.
-$\log _{4} 8$
A) -1.5000
B) 0.6667
C) 1.5000
D) 3.0000

Question

Quizplus · Accepted Answer

Using the change-of-base formula, $\log_{4} 8 = \frac{\log_{10} 8}{\log_{10} 4}$. Calculating these values using a calculator gives $\log_{10} 8 \approx 0.9031$ and $\log_{10} 4 \approx 0.6021$. Dividing these gives approximately 1.5000.

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