Learn how to solve an equation by taking the log on both sides

The video tutorial explains how to solve an exponential equation by isolating terms and applying logarithms. The process involves subtracting constants, using base 10 logarithms, and performing calculations to find the approximate value of X. The tutorial emphasizes the importance of isolating terms and using a calculator for accurate results.

What is the first step in solving the equation 10^(2x + 3) = 8?

• Subtract 3 from both sides

• Add 3 to both sides

• Divide both sides by 10

• Multiply both sides by 10

Why do we take the logarithm of both sides of the equation 10^(2x) = 5?

• To simplify the equation by removing the exponent

• To eliminate the variable x

• To convert the equation into a quadratic form

• To change the base of the equation

Which base is used for the logarithm in this problem?

• Base 10

• Base 5

• Base 2

• Base e

What is the approximate value of x after solving the equation?

• 0.35

• 0.55

• 0.25

• 0.45

How is the final value of x calculated after finding the logarithm?

• By multiplying the logarithm by 2

• By subtracting 2 from the logarithm

• By adding 2 to the logarithm

• By dividing the logarithm by 2