Solving Logarithmic Equations in Algebra 2

What happens when both sides of an equation have the same logarithm?

• They are multiplied

• They are exponentiated

• They are squared

• They cancel each other out

What is the result of solving the equation 4x - 7 = x + 5?

• x = 3

• x = 6

• x = 5

• x = 4

Why is it important to check the solutions of logarithmic equations?

• To simplify the equation further

• To exponentiate the solution

• To find extraneous solutions

• To convert the log base

How do you solve an equation with a log base 2 when it doesn't have a log base 2 on each side?

• By exponentiating

• By adding

• By subtracting

• By dividing

What is the value of x when solving 5x - 17 = 8?

• x = 5

• x = 3

• x = 6

• x = 4

What does exponentiating an equation help to solve?

• Trigonometric equations

• Logarithmic equations

• Quadratic equations

• Linear equations

What operation is used to combine logs when they are added?

• Multiplication

• Division

• Exponentiation

• Subtraction

What is the result of exponentiating both sides of a common log equation?

• The logs cancel out

• The logs are subtracted

• The logs are divided

• The logs are added

What is the final equation form before solving for x in the complex common log equation?

• 2x - 10x = 100

• 2x * (x - 5) = 100

• 2x / (x - 5) = 100

• 2x + 10x = 100

What are the solutions for x in the equation x^2 - 5x - 50 = 0?

• x = 10 and x = 5

• x = -10 and x = -5

• x = 10 and x = -5

• x = -10 and x = 5