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Worksheets

Convert Logs to Exponents

Total questions: 14

Worksheet time: 16mins

Name
Class
Date
1.
Rewrite in exponential form: 
2=log9x
a)
9x=2
b)
2x=9
c)
29=x
d)
92=x
2.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
3.

Write 6x = 8 in log form.

a)

log6 8 = x

b)

log8 6 = x

c)

log6 x = 8

d)

log8 x = 6

4.

Write log5 = x in exponential form

a)

10x = 5

b)

5x = 1

c)

1x = 5

d)

105 = x

5.

Write 10 = 5x in log form

a)

x = log 5

b)

x = log510

c)

x = 5 log10

d)

x = 10 log 5

6.
Rewrite log3t = 5 in exponential form.
a)
5t=3
b)
log35 = log3t
c)
t5=3
d)
35=t
7.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
8.

Write in logarithmic form:

ab = c

a)

log a c = b

b)

log b c = a

c)

log a b = c

d)

log b a = c

9.

Change to logarithmic form.

3h = w

a)

logw3 = h

b)

log3w = h

c)

logh3 = w

d)

log3h = w

10.

Convert 3x = 12 to the equivalent log form.

a)

312 = x

b)

logx 3 = 12

c)

log3 x = 12

d)

log3 12 = x

11.

Change to exponential form.

loga2 = 5

a)

a2 = 5

b)

52 = a

c)

a5 = 2

d)

25 = a

12.
Logarithms are the inverse of ___________.
a)
Trees
b)
Quadratics
c)
Square
d)
Exponential
13.

Write 3 = 7x in log form.

a)

log7 3 = x

b)

log3 7 = x

c)

log7 x = 3

d)

log3 x = 7

14.

Rewrite in exponential form: (remember base 10!)

log(7) = x

a)

7 = 10x

b)

107 = x

c)

ex = 7

d)

e7 = x