Use the change of base rule to find the logarithm to four decimal places.
-$\log _ { 7 } 3$
A) 0.5646
B) 1.1292
C) 1.7712
D) -0.5646

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 get $\log_7 3 = \frac{\log_{10} 3}{\log_{10} 7}$. Calculating this gives approximately 0.5646.

Use the Change of Base Rule to Find the Logarithm log⁡73\log _ { 7 } 3log7​3

Use the Change of Base Rule to Find the Logarithm $\log _ { 7 } 3$