Use the change of base rule to find the logarithm to four decimal places.
-log9 0.60
A) $- 0.2325$
B) $- 0.4650$
C) $0.2325$
D) $- 4.3013$

Question

Use the change of base rule to find the logarithm to four decimal places.
-log9 0.60 
A) $- 0.2325$
B) $- 0.4650$
C) $0.2325$
D) $- 4.3013$

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 logarithm (base 10) for convenience, we get $\log_9 0.60 = \frac{\log 0.60}{\log 9}$. Calculating this gives approximately $-0.2325$.

Use the Change of Base Rule to Find the Logarithm −0.2325- 0.2325−0.2325

Use the Change of Base Rule to Find the Logarithm $- 0.2325$