Solve an exponential equation by taking the log of both sides

The video tutorial explains how to solve exponential equations by isolating the variable and using natural logarithms. It demonstrates the process of taking the natural logarithm of both sides of an equation to solve for X, emphasizing the properties of base E. The tutorial concludes with calculating the natural logarithm of three, highlighting both exact and approximate methods.

What is the first step in solving for X in the equation E to the X = 3?

• Take the natural logarithm of both sides

• Isolate the exponential term

• Multiply both sides by X

• Divide both sides by E

Why do we take the natural logarithm of both sides when solving E to the X = 3?

• To find the derivative of the equation

• To convert the equation into a polynomial

• To eliminate the exponential term

• To simplify the equation to X = Ln(3)

What is the result of taking the natural logarithm of E raised to the X?

• X

• E

• 3

• Ln(X)

What is the exact value of X when solving E to the X = 3 without a calculator?

• 1

• E

• Ln(3)

• 3

How can you approximate the natural logarithm of three?

• By dividing by X

• By using a calculator

• By taking the square root

• By multiplying by E