Exponential Practice

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Solve: 7^-x = 49

• x = 1

• x = -1

• x = 2

• x = -2

Solve 3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½

Solve 8 = 2^5x+7

• x = ⅘

• x = ¼

• x = -⅘

• x = -¼

Solve for x:
(1/8)^x = 2³

• x=−3

• x=3

• x=−1

• x=1

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^t

• y=6(1+14)^t

• y=6(1+ 0.14)^t

• y=6(1 - 0.14)^t

Tags

CCSS.HSF.LE.A.2

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

• y=5000(1 - 0.30)^t

• y=30(5000)^t

• y=5000(1 + 0.30)^t

• y=5000x^t

Tags

CCSS.HSF.LE.A.2

Jacob borrows $500 from Abraham and agrees to have the loan compounded annually with an interest rate of 2.5%. How much will Jacob owe in year 6?

• $565.70

• $262609.38

• $65.70

• $630.20

Tags

CCSS.HSF-LE.A.1C

(2x⁷)³

• 6x²¹

• 8x²¹

• 6x¹⁰

• 8x¹⁰

Tags

CCSS.HSA.APR.A.1

Evaluate the expression using the quotient rule.

• 2^14 z^13

• 2^2/z^7

• 2^14/ z^7

• 2^2 z^7

Tags

CCSS.8.EE.A.1