Question

Rewrite as a quotient of two base- 5 logarithms. Write your answer in simplest form.
log 9 =

Answer 1

`\log(9)=\log_(10)(9)=(\log_(5)(9))/(\log_(5)(10))`

In my opinion, that is the simplest form. However, your teacher may want you to remove powers and factors of 5. In that case, the result is ...


`=(\log_(5)(3^(2)))/(\log_(5)(5\cdot 2))=(2\log_(5)(3))/(1+\log_(5)(2))`