Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to two decimal places.
-$\log _ { 6,9 } 2.8$
A) 0.41
B) 0.53
C) 0.45
D) 1.88

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: $\log _ { 6.9 } 2.8 = \frac { \log _ { 10 } 2.8 } { \log _ { 10 } 6.9 }$. Using a calculator to evaluate this gives approximately 0.53.

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