Evaluate the logarithm $\log _ { 7 } 714$ using the change of base formula. Round to 3 decimal places.
A)6.571
B)0.296
C)3.377
D)12.786
E)2.854

Question

Quizplus · Accepted Answer

The change of base formula is $\log_b a = \frac{\log_c a}{\log_c b}$, where $c$ can be any positive value different from 1. Using the common base of 10, we can evaluate $\log_7 714$ as $\frac{\log_{10} 714}{\log_{10} 7}$. Calculating this gives approximately 3.377 when rounded to three decimal places.

Evaluate the Logarithm log⁡7714\log _ { 7 } 714log7​714 Using the Change of Base Formula

Evaluate the Logarithm $\log _ { 7 } 714$ Using the Change of Base Formula