Learn how to isolate and take the log of both sides to solve the equation

The video tutorial explains how to solve an exponential equation by isolating the exponent and applying logarithms. The process involves subtracting constants to isolate the exponent, using base 10 logarithms to simplify the equation, and calculating the solution by dividing and rounding the result. The tutorial emphasizes the importance of isolating the variable and using a calculator for logarithmic calculations.

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

• Add 3 to both sides

• Divide both sides by 10

• Subtract 3 from both sides

• Multiply both sides by 10

Why do we take the logarithm of both sides of the equation?

• To eliminate the variable

• To simplify the equation

• To convert the equation to a linear form

• To find the base of the exponent

Which base is used for the logarithm in this problem?

• Base 2

• Base 5

• Base e

• Base 10

After taking the logarithm, what is the next step to solve for x?

• Multiply both sides by 2

• Add 2 to both sides

• Divide both sides by 2

• Subtract 2 from both sides

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

• 0.35

• 0.25

• 0.45

• 0.55