Using the change of base to help solve an exponential equation

The video tutorial explains how to solve an equation involving exponents by isolating the exponent and using logarithms. It highlights the limitations of the one-to-one property and introduces the change of base formula for logarithms, which is necessary when using calculators that only support base 10. The tutorial provides step-by-step instructions on how to apply these concepts to solve for the variable X.

What is the first step to isolate the exponent in the equation involving five raised to the power of X?

Explain why the one-to-one property cannot be applied when comparing five raised to the power of X and six.

Describe the change of base formula and how it is used when calculating logarithms with a base that is not available on a calculator.

Why is it necessary to rewrite logarithms when using a calculator that only computes base 10 logarithms?

What is the approximate value of X when solving the equation X - 3 equals log base five of six?