Exponential/Logarithmic Review

Evaluate:

log₄(64) = x

• x=16

• x=3

• x=10

• x=8

Tags

CCSS.HSF.BF.B.5

log₃81 = x

• x=2

• x=3

• x=4

• x=5

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:
log(10,000)=4.

• e⁴=10,000
• 4^10,000=10
• 10⁴=10,000
• 0⁴=10

Tags

CCSS.HSF.BF.B.5

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF-IF.C.8B

The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year. This growth can be expressed by the exponential equation A=3400(1.03)^x, where A is the population after t years. Find the number of years it will take for the population to reach 10,000?

• 20 years

• 26 years

• 30 years

• 36 years

Tags

CCSS.HSF.LE.A.4

You invest $300 into an account that compounds continuously. If your money doubles in 9 years, what is the interest rate (rounded to three decimal places)?

• .987

• 12.984

• .077

• 2

Tags

CCSS.HSF.LE.A.4

Write as a single logarithm.

16 log u +4 log v

• log(v⁴u¹⁶)

• log(v⁴u⁴)

• log(vuw⁴)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)
• 5 log₅ u - 15 log₅ v 
• log₅u + log₅v +3 log₅w
• 3 log₅u + 5 log₅v

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5