Evaluate 3 log base 2 of 3

Problem

3*(log_2)(3)

Solution

1. Identify the expression as a logarithmic term multiplied by a constant coefficient.

2. Apply the power property of logarithms, which states n*(log_b)(a)=(log_b)(a^n) to move the coefficient into the exponent of the argument.

3. Calculate the value of the argument by raising 3 to the power of 3

3^3=27

4. Rewrite the expression in its simplified logarithmic form.

Final Answer

3*(log_2)(3)=(log_2)(27)

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