Solving Exponential Equations Steps

The video tutorial explains how to solve an exponential equation by first isolating the exponential term. It then applies logarithms to both sides of the equation, using the one-to-one property of logarithmic functions. The tutorial continues by solving for x, demonstrating the steps to simplify the equation. Finally, it provides the exact and approximate solutions, showing how to use a calculator for verification.

What is the first step in solving an exponential equation?

• Multiply both sides by a constant

• Take the square root of both sides

• Isolate the exponential term

• Add a constant to both sides

After isolating the exponential term, what property is applied next?

• The quotient rule

• The product rule

• The one-to-one property of logarithms

• The power rule

What is done to the power of the exponential term when using logarithms?

• It is multiplied by the base

• It is brought down as a coefficient

• It is squared

• It is halved

What is the shortcut mentioned for solving the equation after applying logarithms?

• Subtracting log of 3 from both sides

• Adding log of 3 to both sides

• Multiplying both sides by log of 3

• Dividing both sides by log of 3

What operation is performed after dividing by log of 3 to further solve for x?

• Multiplying both sides by 2

• Dividing both sides by 2

• Subtracting 3 from both sides

• Adding 3 to both sides

What is the final step to find the exact value of x?

• Subtract 3

• Multiply by 2

• Divide by 2

• Add 3

What is the approximate value of x calculated using a calculator?

• 2.6464

• 2.5464

• 2.3464

• 2.4464