Evaluate log base 2 of 5

Problem

(log_2)(5)

Solution

1. Identify the expression as a logarithm with base 2 and argument 5.

2. Apply the change of base formula to convert the expression into a form that can be calculated using common logarithms (base 10) or natural logarithms (base e.

3. Use the formula (log_b)(a)=ln(a)/ln(b)

4. Substitute the values into the formula to get ln(5)/ln(2)

5. Calculate the numerical value using the approximate values ln(5)≈1.6094 and ln(2)≈0.6931

Final Answer

(log_2)(5)=ln(5)/ln(2)≈2.3219

Want more problems? Check here!