Exponential & Log Review HW

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

Tags

CCSS.HSF-IF.C.7E

Rewrite as an exponential: log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite as an exponential:  $\log_93=\frac{1}{2}$  

•  $9^{\frac{1}{2}}=3$  

•  $3^{\frac{1}{2}}=9$  

•  $9^3=\frac{1}{2}$  

•  $\left(\frac{1}{2}\right)^9=3$  

Tags

CCSS.HSF.BF.B.5

Rewrite as a log: x = 11^y

• log₁₁(y) = x

• log_y(11) = x

• log₁₁(x) = y

• log_x(y) = 11

Tags

CCSS.HSF.BF.B.5

Find x: log₂(32) = x

• x = 5

• x = 16

• x = 4

• x = 6

Tags

CCSS.HSF.BF.B.5

Find x:  $\log_7\left(\frac{1}{7}\right)=x$  

• x = -1

• x = 1

• x = 0

• No Solution

Tags

CCSS.HSF.BF.B.5

Solve for x:
log₅(625)=x.

• 4
• 2
• 3
• 10

Tags

CCSS.HSF.BF.B.5

Solve for x:
log_x(64)=2.

• 10
• 4
• 8
• e

Tags

CCSS.HSF.BF.B.5

Shelby dreams of starting her own cosmetology studio.  An investor gives her $750,000 toward opening her own store.  Rather than spend it immediately, Shelby wisely puts it away in a savings account to accrue (gather) interest.  The account she chooses offers an annual interest rate of 12.75% compounded monthly.
How long will it be before Shelby has approximately $2,666,034 in her account?

• 9 years
• 10 years
• 2 years
• 1 year

Tags

CCSS.HSF.LE.A.4

Scooter is saving money to build a race car while attending school.  He receives a small investment of $500,000 from Junebug (Dale Earnhardt Jr) to finance this.  Scooter puts this away in an account while he finishes school.  The account he chooses yields 9.95% annual interest compounded continuously.
Approximately how much money will Scooter have in his account after 7 years? 

• $1,000,481.23
• $1,003,263.22
• $3,866,164.65
• $1,003,358.45