Exponential & Logarithmic Functions

What is the equation that represents the exponential function in the image below?

• y=3(½)^x
• y=3(2)^x
• y=(2)^x
• y=2(3)^x

Tags

CCSS.HSF.LE.A.2

Write in exponential form.
log₂32 = 5

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

log₅25 = ?

• 2
• 5
• 25
• 125

Tags

CCSS.HSF.BF.B.5

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861

Tags

CCSS.HSF.BF.B.5

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

• 5
• -5
• 1/5
• -1/5

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

• x = 3
• x = 2
• x = -1
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

A sum of $1000 is invested at an interest rate of 12% per year. Find the amount of in the account after 3 years if interest is compounded daily.

• $1404.93
• $1425.76
• $1430.77
• $1433.24

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Solve the following equation:

3 log (2x) = 16

• x = 2.667

• x = .7699

• x = 107,721.734

• x = 4096

Tags

CCSS.HSF.BF.B.5