Question

How do I convert between logarithmic and exponential form?

I know how to do it, but how would I explain it in a general form?

Answer 1

You need what is in fact the definition of the logarithm:

\(\log_{a}b=c \Leftrightarrow a^c=b\)

Answer 2

\[\log_{b}y=x means b^x=y\]

Answer 3

@Mertsj: if you want to get a space in Latex, just type a tilde: ~

Answer 4

how do you know?

Answer 5

does that apply to all probs?

Answer 6

@ZeHanz

Answer 7

I know, because I had to learn it, just like you :)
It is what a logarithm is: it is an exponent.

I.e. \(\log_2 8=3\) because \(2^3=8\).

Answer 8

wow...so intelligent

Answer 9

*blushing*