Understanding Quadratic Exponential Equations

What is the first step in solving a quadratic exponential equation with three terms?

• Use the quadratic formula

• Factor the equation

• Graph the equation

• Use the Pythagorean theorem

When substituting e^x with a variable, what does e^2x become?

• u^2

• 2u

• 2u^2

• u+2

How do you solve e^x = 3 using logarithms?

• Take the square root of both sides

• Use the natural logarithm on both sides

• Multiply both sides by 3

• Subtract 3 from both sides

What is the approximate value of ln(3)?

• 1.1

• 3.0

• 0.5

• 2.0

What is the value of x when e^x = 1?

• 3

• 0

• 1

• ln(1)

Why is e^x = -4 considered an extraneous solution?

• Because it results in a complex number

• Because logarithms cannot be used

• Because x cannot be negative

• Because e cannot be negative

What is the correct solution for e^x = 7?

• x = 7

• x = -7

• x = 0

• x = ln(7)

How do you convert 4^x to a base of 2?

• 4^x = 2^x

• 4^x = 2^(x/2)

• 4^x = 2^(2x)

• 4^x = 2^(x+2)

What is the solution for 2^x = 4?

• x = 4

• x = 1

• x = 3

• x = 2

Why can't 2^x equal a negative number?

• Because 2 is an even number

• Because it results in a complex number

• Because exponents cannot be negative

• Because powers of 2 are always positive