Math tutorial for solving a multi step logarithmic equation

The video tutorial explains how to solve exponential and logarithmic equations. It begins with a review of exponential equations, emphasizing the process of isolating the variable and using logarithms. The tutorial then transitions to solving logarithmic equations by isolating the log and converting them into exponential form. The instructor provides examples to illustrate the meaning of logarithms and demonstrates how to evaluate powers of two to find solutions.

What is the first step in solving an exponential equation?

• Add a constant to both sides

• Isolate the variable

• Multiply both sides by the base

• Take the square root of both sides

When solving a logarithmic equation, what should you do after isolating the logarithm?

• Divide the logarithm by the base

• Add the base to both sides

• Convert the equation to exponential form

• Multiply the logarithm by the base

How do you express log base 2 of X = 8 in exponential form?

• 2^8 = X

• 8^2 = X

• X^8 = 2

• X^2 = 8

What does the logarithm log base 3 of 9 equal to 1 imply?

• 3 raised to the power of 1 equals 9

• 3 raised to the power of 2 equals 9

• 9 raised to the power of 3 equals 1

• 1 raised to the power of 9 equals 3

Which of the following is true for 2 raised to the 8th power?

• It equals 256

• It equals 128

• It equals 64

• It equals 16