Exponential & Logarithm Test

Write  5² = 25  in logarithmic  form

• log₅   2 = 25
• log₅    25  =  2
• log₂  25  = 5
• No Correct Answer

Tags

CCSS.HSF.BF.B.5

Evaluate log₂18?

• 4.965

• 3.408

• 4.17

• 2.212

Solve for x if 5^x = 150

• 30

• 3.11

• .32

• 3.29

Tags

CCSS.HSF.LE.A.4

Solve for x if 6^x = 54

• 9

• 2.23

• .45

• 2.1

Tags

CCSS.HSF.LE.A.4

Your 3 year investment of $20,000 received 5.2% interest compounded annually.  What is your total return?

• $23,285.05
• $3,285.05
• $2,385
• $32,285

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

• $1,584.62
• $2,651.39
• $2,706.86
• $1,825.10

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

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.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.4

A car depreciates at a rate of 12% per year. How long will it take for a $30,000 vehicle to be worth $20,000?

• -3.17 years

• 3.58 years

• 3.17 years

• 4.12 years

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Tags

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3