Exponential and Logarithm Test Review

The mice population is 25,000 and is decreasing by 20% each year. What will be the mice population after 3 years?

• 12,800

• 15,777

• 102, 475

• 2,500

Tags

CCSS.HSF-LE.A.1C

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

• 25,082

• 12,937

• 62,000

• 43,511

Tags

CCSS.HSF-LE.A.1C

Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

Find the balance in the account after the given period.

$13,500 deposit earning 3.3% compounded monthly after 1 year

• $13,611.38

• $14,898.84

• $13,537.13

• $13, 952.30

Tags

CCSS.HSF-LE.A.1C

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form

2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

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

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate log₄1

• 1
• 0
• 4
• undefined