Expand the Logarithmic Expression log base 8 of x^4

Problem

(log_8)(x4)

Solution

1. Identify the logarithmic property for powers, which states that (log_b)(an)=n*(log_b)(a)

2. Apply the power rule by moving the exponent 4 to the front of the logarithmic expression as a coefficient.

3. Rewrite the expression in its expanded form.

Final Answer

(log_8)(x4)=4*(log_8)(x)

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