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

`Log_5 12=1.54`

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=(Log_x b)/(Log_x a)`

Where x=New base

Using the formula then, we get

`Log_5 12=(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=(1.079)/(0.699)`

`Log_5 12=1.54`