Solving an exponential equation with multiple steps

The video tutorial explains how to solve an exponential equation by isolating the exponent and converting the equation into logarithmic form. It demonstrates the use of the change of base formula to find the solution, emphasizing the importance of understanding logarithmic properties and calculator functions for solving such equations.

What is the first step in solving the given exponential equation?

• Subtract 8 from both sides

• Multiply both sides by 8

• Divide both sides by 8

• Add 8 to both sides

Why can't the base 5 be easily matched to base 3 in the equation?

• Because 5 is a prime number

• Because 5 is greater than 3

• Because 5 is not a power of 3

• Because 5 is less than 3

How can exponential equations be rewritten to make them easier to solve?

• By converting them to logarithmic form

• By converting them to quadratic form

• By converting them to polynomial form

• By converting them to linear form

What is the purpose of using the change of base formula in this context?

• To simplify the equation

• To find the exact value of the logarithm

• To convert the logarithm to a different base

• To eliminate the logarithm

What is the final answer obtained after solving the logarithmic equation?

• 3.54

• 4.54

• 5.54

• 6.54