Question

Evaluate the expression by changing the base and using your calculator.log9 12Show work!

Answer 1

we have the expression

$\log _912$

Change the base of log

The formula to change the base is equal to

$\log _bM=\frac{\log _nM}{\log _nb}$

the new base will be 10

so

n=10

b=9

M=12

substitute

$\log _912=\frac{\log_{10}12}{\log_{10}9}=\frac{\log 12}{\log 9}$

therefore

$\log _912=\frac{\log12}{\log9}=1.131$

the answer is the option C