Multiplying logarithms

[Jt00]

\(\displaystyle \log_5(\log_3{x})=0\)
Solve for x.

I'm not sure how to multiply logarithms. How would I start this problem?

 

[tkhunny]

It is good that you do not know how to do this sort of multiplication - since there is NONE suggested. It is quite disconcerting that you think there is something to be multiplied. Please reread the problem section.

Get this transformation in your head:

\(\displaystyle log_{b}(a) = c \iff b^{c} = a\)

That is what you need. It is NOT multiplication.