Solving Exponents with Like and Nonsimilar Bases

When solving exponential equations, you must first get like _______?

• exponents
• bases

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined

To solve 36 = 6^x, re-write 36 as what base and exponent?

• 3⁶
• 6³
• 6²
• 3¹²

Solve 3³ = 3^{4x + 2}

• ¼
• -¼
• ½
• -½

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Solve: 7^-x = 49

• x = 1
• x = -1
• x = 2
• x = -2

Solve the exponential equation:

• -11/4
• 6
• 9/4
• 8

Mr. Hayden invested $5000 in a money market savings account earning 3% interest compounded annually. How much will be in the account after 15 years?

• $7789.84

• $255929.47

• $7.17

What is the compound interest formula?

• y=P(1+r)^t

• y=P(r/n)^t

• y=P(1+(r/n))^nt