Evaluate 2 log base 2 of 3

Problem

2*(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 that n*(log_b)(x)=(log_b)(xn)

3. Substitute the values into the property to move the coefficient into the exponent of the argument.

2*(log_2)(3)=(log_2)(3)

4. Simplify the argument by calculating the square of the number.

3=9

5. Rewrite the final logarithmic expression.

(log_2)(9)

Final Answer

2*(log_2)(3)=(log_2)(9)

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