Free Printable Logarithms (Chapter 6) Period 1

1.

Rewrite equation in logarithmic form $3^x=y$

a)

$\log_3y=x$

b)

$\log3^x=\log y$

c)

$\log3=\log y$

d)

$x\log3=\log y$

2.

Evaluate the logarithm $\log_327^2$

a)

6

b)

3

c)

9

d)

2

3.

Evaluate the common logarithm log 0.01

a)

$-\ 2$

b)

$-\ 1$

c)

0.01

d)

2

4.

Rewrite in exponential form $\log_2y=a$

a)

$2^a=y$

b)

$y^a=2$

c)

$2^y=a$

d)

$y^2=a$

5.

Evaluate, correct to two decimal places, using a calculator $\log_30.5$

a)

$-\ 0.63$

b)

0.02

c)

$-\ 0.30$

d)

0.24

6.

Evaluate, correct to two decimal places, $\log_48^5$

a)

7.5

b)

4.52

c)

4.74

d)

10

7.

Evaluate, correct to two decimal places, $\log_5\sqrt{3125}$

a)

2.5

b)

25

c)

1.83

d)

3

8.

Solve for x to two decimal places: $5^x=75$

(a)

9.

Evaluate, correct to three decimal places, $\log_{12}6$

(a)

10.

Write as a single logarithm: $\frac{\log x}{\log y}$

a)

$\log_yx$

b)

$\log_xy$

c)

$\frac{\log x}{y}$

d)

$\log\frac{x}{y}$

11.

Solve for x, correct to two decimal places, $4\ =\ \log_315^x$

(a)

Logarithms (Chapter 6) Period 1

Total questions: 11

Worksheet time: 3hrs 45mins

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