Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of
base formula. Write the answer rounded to the nearest ten-thousandth.
-$$\log _ { 5 } 2$$
A)-0.3979
B)2.3219
C)0.4307
D)1.0000

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 $\log_5 2 = \frac{\log_{10} 2}{\log_{10} 5}$. Calculating this gives approximately 0.4307.

Use the Change of Base Formula to Find the Value log⁡52\log _ { 5 } 2log5​2

Use the Change of Base Formula to Find the Value $\log _ { 5 } 2$