log(x) - log(6) = 2 log(4)
Condense the left side, using the property log(a) - log(b) = log(a/b) (if b ≠ 0):
log(x / 6) = 2 log(4)
Rewrite the right side, using the property n log(a) = log(aⁿ ):
log(x / 6) = log(4²)
log(x / 6) = log(16)
Cancel the logarithms (i.e. take the exponential of both sides):
exp(log(x / 6)) = exp(log(16))
x / 6 = 16
Solve for x :
x = 6 × 16
x = 96