How To Evaluate a Logarithm Without a Calculator with a Fraction as the Base

The video tutorial explains how to evaluate the logarithm of 16 with base 1/2 without using a calculator. It begins by introducing the problem and rewriting it in exponential form. The instructor then demonstrates how to rewrite the bases to be the same, using the properties of exponents. By applying the one-to-one property, the exponents are equated, leading to the solution that log base 1/2 of 16 equals -4. The tutorial concludes with a summary of the steps taken to solve the problem.

What does the one-to-one property of exponents imply in the context of logarithms?

Explain how you can evaluate log base 1/2 of 16 without a calculator.