Use the change of base rule to find the logarithm to four decimal places.
-$\log _ { 5 } 6$
A) $1.1133$
B) $2.2266$
C) $0.8982$
D) $- 1.1133$

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 $\log_5 6 = \frac{\log 6}{\log 5}$. Calculating this gives approximately 1.1133.

Use the Change of Base Rule to Find the Logarithm log⁡56\log _ { 5 } 6log5​6

Use the Change of Base Rule to Find the Logarithm $\log _ { 5 } 6$