Free Printable Indices, exponential and logarithms revision

Worksheets

Indices, exponential and logarithms revision

Total questions: 28

Worksheet time: 2hrs 20mins

Name

Class

Date

Evaluate log_b(b)

-1

Evaluate the following logarithm:

log₃27

-3

¹/₃

Evaluate the following logarithm:

log₅5

-1

¹/₂

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

-1

Write as one logarithm. Simplify, if possible.
log₅125 - log₅25

-1

Write the logarithm expression as a single logarithm

log₅4 + log₅3

log₅7

log₅12

log₇5

3log₅4

Write the logarithm expression as a single logarithm

log₄60 - log₄4 + log₄x

log₄15

log₄15x

log₄56x

xlog₄30

Write the logarithm expression as a single logarithm

2log 4 + log 2

log 8

log 16

log 32

log 8²

Expand log(4x)

log4-logx

log4+logx

4logx

xlog4

10.

Use the change of base rule to rewrite this problem:

log₅75

log(75)/log(5)

log(5)/log(75)

11.

Solve each equation. Select the closest answer.

1.5

No solution

12.

Using the change of base rule, what is this logarithm equivalent to?

13.

Solve the equation for x.

x = 8

x = 191

x = 2.526

x = 0.396

14.

Solve for x

3.3578

0.53849

- 5.3849

0.10679

15.

What is the equation that best represents the graph?

y=2^y

y=2^x

y=2^-x

y=x²

16.

What is the Vertical Asymptote?

x=5

x=0

y=0

x=1

17.

What is the equation of the asymptote?

x = -3

x=5

y= -3

y=5

18.

Where is the asymptote?

x = 1

y = 1

x = -1

y = -1

19.

Pick the equation that matches the graph

20.

Find the corresponding graph of
$-\log_4\left(x+1\right)+2$

21.

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

22.

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

23.

You borrowed $59,000 for 2 years at 11% which was compounded annually. What total will you pay back?

$13,693.90

$1,363.90

$72,693.90

$73,793.90

24.

Approximately what interest rate would be needed in order to grow Christian's investment of $1400 to $2500 in 10 years if the interest was compound monthly?

5.96%

5.84%

5.81%

5.88%

25.

How many years will it take $4000 to double with a 5% interest rate?

1440

14.4

55.5

26.

Semi-Annually means how many times a year?

27.

Emily 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

28.

Current population of Islay is 3,425 and is expected to decrease by 3% p.a. over the next 4 years? How many people are predicted to live on Islay in 4 years time?

3,014

3,032

3,836

3,855

100 %

Indices, exponential and logarithms revision

Total questions: 28

Worksheet time: 2hrs 20mins

Similar Resources on Wayground