Solving an exponential equation

The video tutorial explains how to solve an exponential equation, E to the X - 9 = 20, by first adding 9 to both sides to get E to the X = 29. It then explores two methods: using one-to-one properties by taking the natural logarithm (Ln) of both sides, and rewriting the equation into exponential form. The tutorial emphasizes that the choice of method depends on personal preference. Finally, it calculates the natural logarithm of 29 to find that X is approximately 3.37, concluding with a summary of the process.

What is the first step in solving the equation E to the X - 9 = 20?

• Multiply both sides by 9

• Add 9 to both sides

• Divide both sides by 9

• Subtract 9 from both sides

Which property allows us to take the natural logarithm of both sides of an equation?

• Distributive property

• Associative property

• One-to-one property

• Commutative property

What is the base of the natural logarithm (Ln)?

• 1

• E

• 2

• 10

What is the approximate value of X when solving E to the X = 29?

• 4.20

• 3.37

• 5.00

• 2.71

What is the final step in solving the equation E to the X = 29?

• Multiply both sides by E

• Subtract 29 from both sides

• Square both sides

• Take the natural logarithm of 29