Free Printable Graphs of Logs/Expos and Expo Word Problems

Worksheets

Graphs of Logs/Expos and Expo Word Problems

Total questions: 27

Worksheet time: 54mins

Name

Class

Date

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

(-∞,∞)

(-1,∞)

(-1,3)

(∞, -1)

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

(-∞,∞)

(-1,∞)

(-1,3)

(∞, -1)

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

g(x)=log₃(x+6)+4

g(x)=log₃(x+4)-6

g(x)=log₃(x-6)+4

g(x)=3log(x+6)+4

find the asymptote: y = log₁₀ (x+3)

x=-3

x=3

y=-3

y=3

Find the asymptote of the following: y = log₁₀x - 6

x=6

x=-6

x= 0

y=0

Match the graph with its equation

y = log₆(-x) + 1

y = log₆(x − 2) + 1

y = log₆(x + 2) - 1

y = log(x-8) + 1

Match the graph with its equation

y = log₅ (x + 1) + 1

y = log₅ (x - 1) + 1

y = log₅ (x²) + 1

y = log₅ (x)-1

Choose the equation of the graph shown.

10.

Choose the equation of the graph shown.

11.

Choose the equation of the graph shown.

12.

Choose the equation of the graph shown.

13.

Rewrite log₂8 = 3 in exponential form.

2⁸ = 3

2³ = 8

3² = 8

8³ = 2

14.

Evaluate log₇ 343

15.

Without a calculator, evaluate log₄1

¹/₄

-1

not possible

16.

Without technology, determine which of the following is an increasing function. Check all that apply.

y = log₂ (x - 4)

y = log₃ (x+3)

y = -2log₅ (x-1)

y = ¹/₂log x + 4

17.

Which of the following has a domain of all real numbers, x > 2 ?

y = log₂ x

y = log₃ (x+2)

y = log₄ (x - 2)

y = log₇x - 2

18.

Where would the asymptote be for this graph?

y = 4

y = -4

x = 3

x = -3

19.

What is the asymptote of y = 2^x - 3

y = 0

y = -3

x = 0

x = -3

20.

What equation matches the graph?

f(x) = 3^x

f(x) = (⅓)^x

f(x) = -3^x

21.

What is the asymptote of y = 2^x-3 ?

y = 0

y = -3

x = 0

x = -3

22.

Which equation matches the graph?

y = 4^x + 3

y = 4^x - 3

y = 4^{x + 3}

y = 4^{x - 3}

23.

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

$5,884.00

$5,178.97

$2,992.96

$2,957.04

24.

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

y = 30,010 (.05)^x

y = 30,010 (1.05)^x

y = 30,010 (.95)^x

y = 30,010 (5)^x

25.

A city doubles its size every 64 years. If the population is currently 225,000, what will the population be in 128 years?

The population will be 225,000.

The population will be 450,000.

The population will be 900,000.

The population will be 1,800,000.

26.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded monthly. What will be his balance after 15 years?

$827.52

$839.17

$839.45

$846.80

27.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

$1,225,54

$2,225.54

$22,255.40

$225.54

100 %

Graphs of Logs/Expos and Expo Word Problems

Total questions: 27

Worksheet time: 54mins

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