Evaluate the logarithm.
log6 1/36
To evaluate the logarithm log6 (1/36), we need to determine the exponent to which we need to raise 6 in order to obtain 1/36.
6^x = 1/36
To simplify 1/36, we can rewrite it as 1/(6^2):
6^x = 1/(6^2)
6^x = 6^(-2)
Since the bases of both sides of the equation are equal, we can conclude that the exponents must be equal as well:
x = -2
Therefore, log6 (1/36) = -2.