Evaluate log base 6 of 97

Problem

(log_6)(97)

Solution

1. Identify the expression as a logarithm with base 6 and argument 97

2. Apply the change of base formula to rewrite the expression 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: ln(97)/ln(6)

5. Calculate the numerical values of the natural logarithms: ln(97)≈4.57471 and ln(6)≈1.79176

6. Divide the results to find the decimal approximation: 4.57471/1.79176≈2.55319

Final Answer

(log_6)(97)≈2.55319

Want more problems? Check here!