Solving Exponential equations

The video tutorial explains how to solve an equation using the one-to-one properties of logarithms. It begins by introducing the problem and the need to use logarithms. The instructor then discusses the importance of choosing the same base, specifically the natural logarithm with base e. The properties of natural logarithms are applied to solve the equation, and the final solution is calculated using a calculator. The tutorial concludes with a demonstration of the solution process.

What is the main issue when trying to solve X = 5 using powers of E?

• 5 is not a valid exponent.

• E cannot be raised to any power to equal 5.

• E is not a real number.

• Logarithms cannot be used with E.

Why is it important to choose the same base when using logarithms?

• To avoid complex numbers.

• To maintain the one-to-one property.

• To simplify the calculation.

• To ensure the logarithm is valid.

What base does the natural logarithm (Ln) use?

• Base 5

• Base E

• Base 2

• Base 10

What is the result of solving X = -Ln(5)?

• Approximately 1.61

• Exactly 5

• Approximately -1.61

• Exactly -5

Which property of logarithms is used to solve the equation in the final step?

• Product property

• Inverse property

• Power property

• Quotient property