Solving an exponential equation with multiple steps

The video tutorial explains how to solve an exponential equation by isolating the exponent, converting the equation into logarithmic form, and using the change of base formula to find the solution. The process involves dividing both sides of the equation, applying one-to-one properties, and performing final calculations to arrive at the answer.

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

• Divide both sides by 8

• Multiply both sides by 8

• Subtract 8 from both sides

• Add 8 to both sides

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

• Because 5 is less than 3

• Because 5 is greater than 3

• Because 5 is not a power of 3

• Because 5 is a prime number

How can an exponential equation be rewritten to solve for the variable?

• By converting it to a logarithmic equation

• By converting it to a linear equation

• By converting it to a quadratic equation

• By converting it to a polynomial equation

What formula is used when a calculator does not support the specific logarithmic base?

• Quadratic formula

• Linear formula

• Exponential formula

• Change of base formula

What is the final answer obtained after solving the equation using the change of base formula?

• 3.14

• 4.54

• 6.28

• 5.67