Solving Logarithmic Equations Challenge

This video tutorial covers solving logarithmic equations by converting them into exponential form. It begins with a review of the relationship between logarithmic and exponential forms, followed by step-by-step examples of solving equations. The tutorial progresses to more complex equations, demonstrating how to handle additional terms and verify solutions.

What is the first step in solving a logarithmic equation?

• Divide both sides by the base

• Multiply both sides by 2

• Add 5 to both sides

• Convert it to exponential form

Which formula represents the relationship between logarithms and exponents?

• log base B x equals y

• log base B y equals x

• B to the Y power equals x

• B to the X power equals 1

In the equation log base 6 of x equals 3, what is the value of x?

• 216

• 36

• 18

• 6

In the equation log base 6 of 216 equals 3, what is the base?

• 6

• 3

• 216

• 1

What is the base in the equation log base 3 of (x + 5) equals 4?

• x

• 4

• 3

• 5

How do you isolate x in the equation 81 equals x + 5?

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the value of x in the equation 3 to the 4th power equals x + 5?

• 76

• 81

• 71

• 85

Why is it important to check your solution in a logarithmic equation?

• To ensure the solution is correct

• To find a different solution

• To change the base

• To simplify the equation

What is the result of 3 to the 4th power?

• 27

• 64

• 16

• 81

What is the final step in verifying the solution of a logarithmic equation?

• Divide both sides by the exponent

• Substitute the value back into the original equation

• Multiply both sides by the base

• Add the base to both sides