Logarithm question

Question

Given that log_aC - log_ax = 5/3, express x in terms of a and N, giving answer in a form not involving logarithms.

Answer 1

log_aC - log_ax = 5/3

log_a(C/x) = 5/3

C/x = a^5/3

C = x(a^5/3)

So, x = C / a^5/3 (or Ca^-5/3)

Answer 2

("a"^?=C)-("a"^?=x)=5/3