Evaluate 2 log base 2 of 37

Problem

2*(log_2)(37)

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)(a)=(log_b)(an)

3. Rewrite the expression by moving the coefficient 2 to the exponent of the argument 37

2*(log_2)(37)=(log_2)(37)

4. Calculate the square of 37

37=1369

5. Substitute the squared value back into the logarithmic expression.

(log_2)(1369)

Final Answer

2*(log_2)(37)=(log_2)(1369)

Want more problems? Check here!