Solving Exponential equations

The video tutorial explains how to solve an exponential equation by factoring. It begins with setting up the problem and reviewing exponent rules. The instructor then demonstrates factoring a trinomial and applying the zero product property to solve the equation. The solution involves using logarithms to find the approximate value of x. The tutorial concludes with a summary of the steps taken to solve the equation.

What is the equation that needs to be solved in the video?

• e^(2x) + 9e^x + 36 = 0

• e^(2x) - 9e^x + 36 = 0

• e^(2x) + 9e^x - 36 = 0

• e^(2x) - 9e^x - 36 = 0

Which property of exponents is used to simplify e^(2x)?

• x^m / x^n = x^(m-n)

• x^m / x^n = x^(m/n)

• x^m * x^n = x^(m*n)

• x^m * x^n = x^(m+n)

What two numbers multiply to -36 and add to -9?

• -18 and 2

• -6 and 6

• -9 and 4

• -12 and 3

Why can't e^x equal -3 in the solution process?

• Exponential functions cannot yield fractional results.

• Exponential functions cannot yield positive results.

• Exponential functions cannot yield zero.

• Exponential functions cannot yield negative results.

What is the approximate value of x when solving ln(12)?

• 2.48

• 1.48

• 3.48

• 4.48