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Expand the Logarithmic Expression log base 2 of z^3

Problem

(log_2)(z3)

Solution

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

  2. Apply the Power Rule by moving the exponent 3 to the front of the logarithmic expression as a multiplier.

  3. Simplify the expression to its expanded form.

Final Answer

(log_2)(z3)=3*(log_2)(z)


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