Use the change of base rule to find the logarithm to four decimal places.
-$$\log _ { 2.3 } 262$$
A) 113.9130
B) 6.6854
C) 0.1496
D) 2.4183

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, the calculation is $\log_{2.3} 262 = \frac{\log_{10} 262}{\log_{10} 2.3}$. Calculating this gives approximately 6.6854.

Use the Change of Base Rule to Find the Logarithm log⁡2.3262\log _ { 2.3 } 262log2.3​262

Use the Change of Base Rule to Find the Logarithm $\log _ { 2.3 } 262$