Learn how to solve an exponential equation by taking natural log on both sides

The video tutorial explains how to solve equations where the variable is an exponent. It introduces the concept of rewriting equations in logarithmic form or using the one-to-one property. The instructor demonstrates how to apply logarithmic rules to simplify and solve equations, providing practical examples and calculations to illustrate the process.

What is one method mentioned to solve for a variable raised to a power?

• Using the distributive property

• Applying the Pythagorean theorem

• Rewriting in logarithmic form

• Using the quadratic formula

What does the logarithm of a number with the same base equal?

• One

• The base itself

• Zero

• The exponent

If log base 3 of 3 to the 4th power is calculated, what is the result?

• 0

• 3

• 4

• 1

What is the result of taking the natural logarithm of e squared?

• e

• 1

• e squared

• 2

After taking the natural logarithm of both sides, what is the next step to solve the equation?

• Divide both sides by the exponent

• Add the exponents together

• Use a calculator to find the numerical value

• Multiply both sides by e