Question

Rewrite each logarithm as a quotient of common logarithms. Then, evaluate to the nearest hundredth.

Answer 1

Answer:

$\log_912=1.131$

Step-by-step explanation:

 Given expression  $\log_912$ ,

we have to rewrite the  logarithm as a quotient of common logarithms and then evaluate

Using property of logarithm ,

$\log_a(b)=\frac{\log_e(b)}{\log_e(a)}$

Given expression

$\log_912$ becomes,

$\log_9(12)=\frac{\log_e(12)}{\log_e(9)}$

$\log_e12 =2.485$(approx))

$\log_e9 =2.197$(approx)

Substitute , we get,

$\frac{\log_e 12}{\log_e 9} = 1.131$

Thus,  $\log_912=1.131$