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Expand the Logarithmic Expression log of 3^25

Problem

(log_)(3)

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 25 to the front of the logarithmic expression as a multiplier.

  3. Simplify the expression into its expanded form.

Final Answer

(log_)(3)=25*(log_)(3)


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