Solving Exponential Equations with Common Bases

What is the first step in solving exponential equations?

• Isolate the variable

• Make the bases equal

• Add the exponents

• Divide both sides by the base

Which of the following pairs can be rewritten with a common base of 5?

• 16 and 64

• 4 and 8

• 25 and 625

• 9 and 27

If 16 is written as 2^4, how can 64 be written using the same base?

• 2^5

• 2^7

• 2^6

• 2^3

In the equation 3^(x-4) = 9^(x+28), what is the common base used?

• 5

• 4

• 3

• 2

What is the solution to the equation 4^(x+35) = 64^(x-3) when rewritten with a common base of 4?

• x = -35

• x = 35

• x = -22

• x = 22

How is 1/4 written as a power of 4?

• 4^1

• 4^2

• 4^0

• 4^-1

What is the common base for the numbers 3 and 1/9?

• 4

• 1

• 2

• 3

In the equation 20^(2) = 400, what is the exponent of 20?

• 1

• 2

• 4

• 3

What is the common base for the numbers 36 and 216?

• 5

• 4

• 6

• 7

What is the solution to the equation 6^(2x+8) = 216^(x-3) when rewritten with a common base of 6?

• x = 5/7

• x = -5/7

• x = -7/5

• x = 7/5