logarithms and Exponentials Test

Rewrite the equation as a logarithm:

3² = 9

• log ₃ 2 = 9

• log ₉ 3 = 2

• log ₃ 9 = 2

• log ₂ 9 = 3

Chip invested $5,000 in a corporate bond which pays 8.25% interest compounded quarterly.  How much money will Chip have in 15 years for retirement?

• $6,187.50
• $17,019.32
• $17,234.93
• $6,791.46

Solve: log₅25 = ?

• 2

• 5

• 125

• 10

Rewrite the equation as a logarithm:

e³ = 20.1

• ln 20.1 = e

• ln 3 = 20.1

• ln e = 20.1

• ln 20.1 = 3

Solve.

3^(2x)=27^(x+1)

• x=6

• x=0

• x=3

• x=-3

Solve for x.
e^x+6 + 5 = 1

• -4.614
• -4.236
• No Solution
• -0.334

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆(216)=x+2
• log_(x+2)(216)=6

Tags

CCSS.HSF.BF.B.5

Find the inverse of the function f(x)=4^(x+1)-1

• f^-1(x)=log₄(x+1)-1
• f^-1(x)=log₄(x-1)+1
• f^-1(x)=log₄(y+1)-1
• f^-1(x)=log₄(x)

Tags

CCSS.HSF-BF.B.4A

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0
• 1
• 2
• 3

Tags

CCSS.HSF.LE.A.4

Write in exponential form:
log ₃₆ 1 = 0

• 36⁰ = 1
• 36¹ = 0
• 1³⁶ = 0
• 1⁰ = 36

Tags

CCSS.HSF.BF.B.5