Question

Rewrite as a quotient of two base - 9 logarithms. write your answer in simplest form log 17 =
​

Answer 1

`(log_(9)17 )/(log_(9)10 )`

Explanation:

Using the change of base rule for logarithms

`log_(b)` x =
`(log_(c)x )/(log_(c)b )` ( where c is the new base )

Given

log 17 , that is
`log_(10)` 17 , then

`log_(10)` 17 =
`(log_(9)17 )/(log_(9)10 )`