Solving Exponential Equations with Logarithms

This video tutorial teaches how to solve equations where the variable is in the exponent and the base is 2, using logarithms. It covers the use of both common and natural logs, addresses common misunderstandings, and provides examples using tables for approximation. The tutorial also includes an advanced example of isolating the base before applying logarithms.

What property allows you to move the variable out of the exponent when using logarithms?

How does the base of a logarithm affect the solution of an exponential equation?

How can you approximate the value of X when solving the equation 2^X = 20 using a table?

Explain why logarithms do not cancel when dividing one logarithm by another.

What is the result of using the common log instead of the natural log in solving exponential equations?

Describe the steps to isolate the base before using logarithms to solve for X.

What is the final answer when solving the equation 5 * 2^X = 14 using logarithms?