Use the Change of Base Formula and a calculator to evaluate the logarithm, correct to six decimal places. Use either natural or common logarithms. $\log _ { 12 } 3.5$
A) $0.544068$
B) $3.737670$
C) $0.504149$
D) $1.252763$
E) $2.484907$

Question

Quizplus · Accepted Answer

We can use either natural or common logarithms to evaluate this logarithm using the change of base formula:
$$\log_{12}3.5=\frac{\ln 3.5}{\ln 12}\approx0.504149$$
Therefore, the best choice is C.

Use the Change of Base Formula and a Calculator to Evaluate