Exponential and Logarithm Review

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Tags

CCSS.HSA.APR.A.1

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54
• $2,225.54
• $22,255.40
• $225.54

Tags

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

2^x+6=32

• x=-1
• x=11
• x=1
• x=-11

Tags

CCSS.HSF.LE.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

• -.5609
• 3.4036
• 2.0674
• -1.0753

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

• y = 1500(1 - 0.015)^t
• y = 1500(0.015)^t
• y = 1500(1 + 0.015)^t
• y = 1500(1.5)^t

Tags

CCSS.HSF.LE.A.2

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B