if log_a 3 = log_b 27 then show that b=a^3

Question

log_a mean log base a.

Answer 1

log_a(3) = log_b(27)
log_a(3) = 3log_b(3)

log_a(3)/log_b(3) = 3
log_b(a) = 3
b = a^3