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=(\log _nM)/(\log _nb)`

the new base will be 10

so

n=10

b=9

M=12

substitute

`\log _912=(\log_(10)12)/(\log_(10)9)=(\log 12)/(\log 9)`

therefore

`\log _912=(\log12)/(\log9)=1.131`

the answer is the option C