Logarithmic and Exponential Equations

What is the first step in solving a logarithmic equation with a single log?

• Subtract the base from both sides

• Add a constant to both sides

• Isolate the logarithm

• Multiply both sides by the base

How do you isolate the logarithm in the equation 3 x log base 6 of (x + 4) = 9?

• Subtract 3 from both sides

• Divide both sides by 3

• Add 3 to both sides

• Multiply both sides by 3

Which of the following is a method to enter the isolated logarithmic equation?

• Using a calculator

• Using a math pallet

• Typing directly into a text editor

• Drawing it on paper

What is the exponential form of the equation log base 6 of (x + 4) = 3?

• x + 4 = 3^6

• x + 4 = 6^3

• x + 4 = 6^6

• x + 4 = 3^3

What is the purpose of converting a logarithmic equation to an exponential form?

• To simplify the equation

• To solve for the base

• To solve for the exponent

• To solve for the variable

What is the base in the logarithmic equation log base 6 of (x + 4) = 3?

• x + 4

• 9

• 6

• 3

What is the value of 6 raised to the power of 3?

• 36

• 18

• 216

• 1296

What is the final step to find the exact solution for x in the equation x + 4 = 216?

• Add 4 to both sides

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 4 from both sides

What is the exact solution for x in the equation x + 4 = 216?

• x = 220

• x = 212

• x = 210

• x = 214

Which operation is used to solve for x after converting the equation to exponential form?

• Division

• Addition

• Subtraction

• Multiplication