Question

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.
log5 12

Answer 1

Answer:

$Log_5 12=1.54$

Step-by-step explanation:

We are given that

$Log_5 12$

We have to find the value of given logarithms by using change-base formula

Base-change formula:

$log_a b=\frac{Log_x b}{Log_x a}$

Where x=New base

Using the formula then, we get

$Log_5 12=\frac{log_{10} 12}{log_{10} 5}$

Substitute the values $log_{10}12=1.079, log_{10}5=0.699$

Then,we get

$Log_5 12=\frac{1.079}{0.699}$

$Log_5 12=1.54$