mathplease check
posted by Roger .
Change the logarithmic equation to an equivalent equation involving an exponent.
log8^64=2
**note that the 8 should be lower than the g**
8^(log64)=8^2
64=8^2
is this correct

You are correct
you could just use the definition.
I used to tell my students to "memorize" the following pattern
2^3 = 8 <> log_{2} 8 = 3
that way you can tell what goes where.