Using the change of base to help solve an exponential equation

The video tutorial explains how to solve an equation involving exponents by isolating the exponent and using logarithms. It highlights the limitations of the one-to-one property and introduces the change of base formula for logarithms, which is necessary when using calculators that only support base 10. The tutorial provides step-by-step instructions on how to apply these concepts to solve for the variable X.

What is the first step in solving an equation involving powers when the one-to-one property cannot be applied?

• Divide both sides by a constant

• Add a constant to both sides

• Isolate the exponent

• Multiply both sides by a constant

Why can't the one-to-one property be used directly in the given problem?

• The equation is not in exponential form

• The equation involves addition

• The exponents are already isolated

• The bases are not the same

What mathematical operation is used to solve the equation when the one-to-one property is not applicable?

• Addition

• Subtraction

• Logarithm

• Multiplication

What is the purpose of the change of base formula in logarithms?

• To convert logarithms to a different base

• To solve linear equations

• To simplify multiplication

• To find the square root

How can you compute a logarithm with a base not available on a standard calculator?

• Use a logarithm table

• Use a scientific calculator

• Use the change of base formula

• Approximate the value