Expand the Logarithmic Expression log base 4 of x(x-9)

Problem

(log_4)(x*(x−9))

Solution

1. Identify the logarithmic property for products, which states that the logarithm of a product is the sum of the logarithms of the factors.

2. Apply the Product Rule for logarithms, (log_b)(M*N)=(log_b)(M)+(log_b)(N) to the expression.

3. Distribute the log base 4 to both the factor x and the factor (x−9)

Final Answer

(log_4)(x*(x−9))=(log_4)(x)+(log_4)(x−9)

Want more problems? Check here!