Solving Exponential equations

The video tutorial demonstrates how to solve an exponential equation by isolating the exponent, applying logarithms, and using the change of base formula. The instructor guides through each step, including subtracting constants, dividing, and converting to a logarithmic equation. The final solution is calculated, and the process is summarized for clarity.

What is the first step in isolating the exponent in the given equation?

• Add 13 to both sides

• Subtract 13 from both sides

• Multiply both sides by 8

• Divide both sides by 4

After isolating the exponent, what is the next operation performed on the equation?

• Multiply by 4

• Subtract 4

• Divide by 8

• Add 8

What mathematical operation is used to convert the equation into a logarithmic form?

• Exponentiation

• Taking the square root

• Multiplication

• Taking the logarithm

Which formula is used to evaluate the logarithm if a calculator does not allow choosing a base?

• Pythagorean theorem

• Change of base formula

• Quadratic formula

• Binomial theorem

What is the approximate value of X after solving the equation using the change of base formula?

• 3.14

• 1.75

• 4.20

• 2.55