Simplify/Condense log base a of b^2

Problem

(log_a)(b2)

Solution

1. Identify the logarithmic expression, which consists of a base a and an argument b2

2. Apply the power rule for logarithms, which states that (log_b)(xp)=p*(log_b)(x)

3. Move the exponent 2 from the argument to the front of the logarithm as a coefficient.

Final Answer

(log_a)(b2)=2*(log_a)(b)

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