Find the solution to log2 X= -3

Solve for X:
(log(X))/(log(2))=-3

Multiply both sides by log(2):
log(X)=-3 log(2)

-3 log(2) = log(1/2^3) = log(1/8):
log(X)=log(1/8)

Cancel logarithms by taking exp of both sides:
Answer: |  X=1/8