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Worksheets

Exponential to Logarithmic

Total questions: 15

Worksheet time: 13mins

Name
Class
Date
1.

32 = 9

a)

log 3 2 = 9

b)

log 9 3 = 2

c)

log 3 9 = 2

d)

log 2 9 = 3

2.

53 = 125

a)

log 5 125 = 3

b)

log 3 5 = 125

c)

log 125 3 = 5

d)

log 5 3 = 125

3.

16 = 42

a)

log 4 2 = 16

b)

log 16 4 = 2

c)

log 2 16 = 4

d)

log 4 16 = 2

4.

25 = 32

a)

log 5 32 = 2

b)

log 2 32 = 5

c)

log 32 5 = 2

d)

log 2 5 = 32

5.

7x = 13

a)

log 7 x = 13

b)

log 13 x = 7

c)

log 7 13 = x

d)

log x 7 = 13

6.

e3 = 20.1

a)

ln 20.1 = e

b)

ln 3 = 20.1

c)

ln e = 20.1

d)

ln 20.1 = 3

7.

bk = m

a)

log b m = k

b)

log m k = b

c)

log b k = m

d)

log k m = b

8.

33 = xy

a)

log 33 y = x

b)

log x 33 = y

c)

log y 33 = x

d)

log x y = 33

9.

w = n98

a)

log 98 w = n

b)

log n 98 = w

c)

log n w = 98

d)

log w n = 98

10.

103 = 1000

a)

log 1000 3 = 10

b)

log 3 10 = 1000

c)

log 3 = 1000

d)

log 1000 = 3

11.

t = 413

a)

log t 13 = 4

b)

log 4 t = 13

c)

log 13 4 = t

d)

log 4 13 = t

12.

100 = 1

a)

log 1 = 0

b)

log 0 = 1

c)

log 0 10 = 1

d)

log 0 1 = 10

13.

4-2 = 1/16

a)

log 4 (1/16) = -2

b)

log -2 (1/16) = 4

c)

log 4 (-2) = 1/16

d)

log 1/16 (4) = -2

14.

13.5 = et

a)

ln 13.5t = e

b)

ln e = 13.5t

c)

ln t = 13.5

d)

ln 13.5 = t

15.

0.01 = 10-2

a)

log -2 0.01 = 10

b)

log -2 = 0.01

c)

log 0.01 = -2

d)

log 0.01 (-2) = 0.01