Checkpoint 7 Review

Solve:  $3^{2x-6}=81\$  

•  $6$  
  

•  $-1,\ 3$  
  

•  $5$  
  

•  $7.5$  
  

Rewrite 3⁴ = 81 in logarithmic form.

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

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3
• log₂ 3 = 8
• log₃ 8 = 2
• log₃ 2 = 8

Logarithmic form is the inverse of exponential form.

• True
• False

Find the inverse of the function f(x)=5^(x+2)

• f^-1(x)=log₅(x-2)
• f^-1(x)=log₅(x)-2
• f^-1(x)=log₅(x)+2
• f^-1(x)=log₅(x+2)

Find the inverse of f(x)=log₄(x+4)

• f^-1(x)=4^(x-4)
• f^-1(x)=4^x+4
• f^-1(x)=4^x-4
• f^-1(x)=4^x

Convert log(x)=5 to exponential form

• 1⁵=x
• 10^x=5
• x⁵=10
• 10⁵=x

The number of student athletes at a local high school is 300 and is increasing

at a rate of 8% per year. Use an exponential function to find the number of

student athletes after 5 years.

Annual sales for a company are $149,999 and are increasing at a rate of 6%

per year. Use an exponential function to find the annual sales after 7 years.

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis