Evaluate log base 3 of 21.8

Problem

(log_3)(21.8)

Solution

1. Identify the expression as a logarithm with base 3 and argument 21.8

2. Apply the change of base formula to convert the expression into a form that can be calculated using common logarithms ((log_10)() or natural logarithms (ln().

3. Substitute the values into the formula (log_b)(a)=ln(a)/ln(b)

4. Calculate the numerical values of ln(21.8) and ln(3)

5. Divide the results to find the final decimal approximation.

Final Answer

(log_3)(21.8)≈2.8051

Want more problems? Check here!