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QZ-2 MA: Review Logarithmic and Exponential Equations

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
32x – 6  = 81
a)
x = log 4
b)
x = 5
c)
x = 4
d)
x = -1
2.
2 * 43x – 6 – 8 = 120
a)
x = 3
b)
x = 4
c)
x = 2.9
d)
x = 8
3.
log2(2) + log2(8x) = 6
a)
x = 3
b)
x = 2
c)
x = 6
d)
x = 4
4.
log6(2x + 3) = 3
a)
x = 106.5
b)
x = 100
c)
x = 16
d)
x = 50
5.
2log (2x)4 = 16
a)
x = 4
b)
x = 10
c)
x = 50
d)
x = 2
6.

log x - log 8 = 3

a)

x = 1000

b)

x = 800

c)

x = 8000

d)

x = 100

7.
log5(4x-7)=log5(x+5)
a)
3
b)
12
c)
4
d)
7
8.
7n+10- 8 = 6
a)
-7.374
b)
-8.643
c)
-7.360
d)
-8.853
9.

To solve, 165x = 64x+7, what would be the correct set-up?


There is more than one correct answer.

a)

44(5x)=416(x+7)

b)

82(5x)=88(x+7)

c)

42(5x)=43(x+7)

d)

24(5x)=26(x+7)

10.
Solve the equation for x.
a)
32
b)
25
c)
1.66
d)
512
11.
Solve the equation for x.
a)
998
b)
-1.523
c)
0.477
d)
0
12.

Solve each equation. Select the closest answer.

a)

-0.3

b)

-0.4

c)

-0.2

d)

No solution

13.

Solve each equation. Select the closest answer.

a)

8

b)

-10

c)

75

d)

20

14.
7n+10- 8 = 6
a)
-7.374
b)
-8.643
c)
-7.360
d)
-8.853
15.
log(x+6) = 1
a)
4
b)
4.222
c)
-5
d)
-9.550
16.

Solve

a)

46/5

b)

5/46

c)

-46/5

d)

-5/46

17.

Solve the equation: 

 62x=6(x1)6^{2x}=6^{\left(-x-1\right)}  

a)

 13-\frac{1}{3}  

b)

 158\frac{15}{8}  

c)

 55  

d)

 1910\frac{19}{10}  

18.

Solve the equation: 

 5(23x)=255^{\left(2-3x\right)}=25  

a)

 75\frac{7}{5}  

b)

 34-\frac{3}{4}  

c)

 76-\frac{7}{6}  

d)

 00  

19.

Solve the equation:

  32(3x+1)=(14)5x32^{\left(-3x+1\right)}=\left(\frac{1}{4}\right)^{5x}  

a)

1

b)

 18\frac{1}{8}  

c)

5

d)

 15\frac{1}{5}  

20.

Solve the equation:

  42x = 74^{2x\ }=\ 7  

a)

0

b)

1.311

c)

.364

d)

.702

21.

Solve:


log2 x + log2 (x + 5) = log2 (3x + 8)

a)

x = 2

b)

x = -4

c)

x = 2 and x = -4

d)

no solution

22.
Expand the logarithm
log10 7x
a)
(log10 7)(log10 x)
b)
log10 7 + log10 x
c)
7log10 x
d)
xlog10 7
23.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
24.
Change to Exponential Form:
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
25.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby