Solving Exponential Equations with Like Bases

What can 16 be rewritten as to solve the equation 4^(5x - 3) = 16?

• 4^2

• 16^1

• 8^2

• 2^4

After rewriting 16 as 4^2, what should the next step be?

• Add the exponents

• Divide the exponents

• Multiply the exponents

• Set the exponents equal to each other

What is the value of x in the equation 4^(5x - 3) = 16?

• x = 2

• x = 3

• x = 1

• x = 0

What is anything raised to the zero power?

• One

• Negative one

• Zero

• Itself

What is the value of x in the equation 7^(4x - 8) = 1?

• x = -1

• x = 2

• x = 0

• x = 1

What is the reciprocal of 5^2?

• 5

• 25

• 1/25

• 1/5

What is the value of x in the equation 5^(3x + 4) = 1/25?

• x = 2

• x = -2

• x = -1

• x = 1

How can 9 be rewritten to solve the equation 3^(2x) = 3^(x - 6)?

• 3^3

• 3^2

• 3^1

• 3^0

What is the value of x in the equation 3^(2x) = 3^(x - 6)?

• x = -6

• x = 6

• x = 3

• x = -3

What should you do if you encounter x's on both sides of an exponential equation?

• Multiply the exponents

• Cry

• Set the exponents equal to each other

• Give up