Question

logx 216 = 3/2

x=?

Answer 1

log b ( A) = C translates to
b^C = A
In your question, b = x, A = 216 and C = 3/2
x^(3/2) = 216

And then you get from that:
undoing the 3/2 power, just raise everything to the 2/3 power (since 3/2 * 2/3 is 1, then you get x^1)
x = 216 ^(2/3) = 36