Use the change of base rule to find the logarithm to four decimal places.
-$\log _ { 5.4 } 2.6$
A) $0.5666$
B) $0.4815$
C) $1.7649$
D) $0.4150$

Question

Quizplus · Accepted Answer

The change of base rule states that $\log_a b = \frac{\log b}{\log a}$. Using this rule, we can find the logarithm to four decimal places as follows:$\log _ { 5.4 } 2.6 = \frac{\log 2.6}{\log 5.4} \approx \frac{0.4150}{0.7351} \approx 0.5666$Therefore, the correct answer is A.

Use the Change of Base Rule to Find the Logarithm log⁡5.42.6\log _ { 5.4 } 2.6log5.4​2.6

Use the Change of Base Rule to Find the Logarithm $\log _ { 5.4 } 2.6$