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Solving Exponential and Log Equations

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Solve.

log2(1-4x) = log2(2x+43)

a)

7

b)

-7

c)

7, -7

d)

No solution

2.

Solve.

2logx - log4 = 1

a)

2√10

b)

-2√10

c)

-10√2

d)

2√10, -2√10

3.

Solve.

3^x = 16

(there are multiple answers)

a)

1/8

b)

log3 16

c)

log16/log3

d)

log16 3

4.

log10 = 1

a)

True

b)

False

5.

Log10 equals to 10 as to ln equals to loge

a)

True

b)

False

6.

e is approximately...

a)

3.14

b)

2.561

c)

41.14

d)

2.71

7.

Which of the following are equal to 3^x = 16?

a)

log3 16 = x

b)

log16/log3

c)

16 = 3^x

d)

All of the above

8.

If the bases are the same on a two-sided equation, the powers cannot be added.

a)

True

b)

False

9.

Solve.

e^x+3 = 8

a)

-log3 + 8

b)

ln8+3

c)

-3log - 8

d)

-3 + ln8

10.

Solve.

2log3 x -log3(x-2) = 2

a)

3,6,9

b)

3,6

c)

3

d)

-6