For any real number \(k\) and positive numbers \(A\) and \(b\) where \(b \ne 1\),
$$\large{\log _b}{A^k} = k \cdot {\log _b}A$$
Description: The logarithm of a power is the exponent times the logarithm of the base.
Example 1:
$${\log _7}{x^2} = 2 \cdot {\log _7}x$$
Example 2:
$${\log _2}{5^3} = 3 \cdot {\log _2}5$$