Log and Exponential Functions Quiz

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Tags

CCSS.HSF.LE.A.4

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• logxyz³
• log(xy/z³)
• logx+logy+logz³
• logx³y³z³

Solve:

log₄(-2x+9)=log₄(7 - 4x)

• -5

• -1

• 1

• 5

log₆(2x + 3) = 3

• x = 106.5
• x = 100
• x = 16
• x = 50

Tags

CCSS.HSF.BF.B.5

• 14
• 81/8
• 18
• 9969

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94
• $15,683.28
• $15,927.56
• $16,109.05

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Jasmine puts $4000 into an a savings account which offers 8% interest and compounds interests continuously for 3 years. Which expression could be typed into the calculator to see how much money Jasmine will have after 3 years?

• 4000(1+.08)³

• 4000e^(.08)(3)

• 4000(1+3)^.08

• 4000(1+.08/3)³⁽³⁾

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The poplulation of Eden is growing continuously at a rate of 1.9%. If the current population is 15,230, about how many years to reach 20,000?

• 31
• 2
• 15
• 68

Tags

CCSS.HSF.LE.A.4