Free Printable Laws of Logs

1.

Calculate: $\log_327$ .

a)

3

b)

9

c)

$\log_339$

d)

$\log_3\left(9\times3\right)$

2.

Calculate: $\log_{10}10000$ .

a)

3

b)

4

c)

$\log_{10}\left(10\times1000\right)\$

d)

5

3.

Calculate: $\log_28+\log_210-\log_25$ .

a)

$\log_2400$

b)

$\log_213$

c)

2

d)

4

4.

Simplify: $\log_{11}9-\log_{11}3+\log_{11}21$ fully.

a)

$\log_{11}63$

b)

$\log_{11}27$

c)

5

d)

2

5.

Evaluate: $4\log_42$ .

a)

4

b)

$8\log_42$

c)

2

d)

$\log_216$

6.

Evaluate: $\frac{1}{2}\log_{10}100$ .

a)

$\log_{10}50$

b)

$\log_5100$

c)

2

d)

1

7.

Calculate: 2 $\log_63+2\log_62$ .

a)

1

b)

2

c)

3

d)

5

8.

Calculate: $3\log_510-\log_52-2\log_52$ .

a)

1

b)

2

c)

3

d)

e

9.

What does e stand for?

a)

The "Exponential" constant

b)

2.71.....

c)

Euler's Number

d)

Even numbers

10.

What coordinates do exponential and logarithmic graphs always pass through?

a)

Exponential (0,0) and Logs (0,0)

b)

Exponential (1,0) and Logs (1,0)

c)

Exponential (0,1) and Logs (1,0)

d)

Exponential (1,0) and Logs (0,1)

Laws of Logs

Total questions: 10

Worksheet time: 14mins

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