Free Printable Checkpoint 7 Review

Worksheets

Checkpoint 7 Review

Total questions: 13

Worksheet time: 2hrs 20mins

Name

Class

Date

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.

(a)

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.

(a)

10.

For $y=a\left(b\right)^x+k$ , how can the coefficient, a, transform the function?

Horizontal shift

Vertical Shift

Reflection over the x-axis

Reflection over the y-axis

11.

For $y=a\left(b\right)^x+k$ , how does adding k transform the parent function?

Horizontal shift

left to right

Vertical Shift

Up and down

Reflection over the x-axis

Reflection over the y-axis

12.

Solve for x:

log₂(x+3)=4

13.

Describe domain of the function shown: y=log₂(x+1)

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Checkpoint 7 Review

Total questions: 13

Worksheet time: 2hrs 20mins

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