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FST 9.2 HW - Expo/Logs

Total questions: 21

Worksheet time: 5hrs 15mins

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.

25 = 32

a)

log 5 32 = 2

b)

log 2 32 = 5

c)

log 32 5 = 2

d)

log 2 5 = 32

3.

7x = 13

a)

log 7 x = 13

b)

log 13 x = 7

c)

log 7 13 = x

d)

log x 7 = 13

4.

bk = m

a)

log b m = k

b)

log m k = b

c)

log b k = m

d)

log k m = b

5.
Solve for n:
23n = 4
a)
2
b)
3
c)
2/3
d)
4
6.
Change to Exponential Form:
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
7.
Solve the following for 'x';
log6(3x - 2) = log6(5x - 8)
a)
x = 3
b)
x = 2
c)
x = -1
d)
No Solution
8.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
9.
Convert log(x)=5 to exponential form
a)
15=x
b)
10x=5
c)
x5=10
d)
105=x
10.
Convert 6(x+2)=216 to logarithmic form
a)
log216(x+2)=6
b)
log6(x+2)=216
c)
log6(216)=x+2
d)
log(x+2)(216)=6
11.
Convert log8(x+2)=3 to exponential form.
a)
8(x+2)=3
b)
3(x+2)=8
c)
83=x+2
d)
38=x+2
12.

 4x1=264^{x-1}=2^6  

a)

5

b)

-4

c)

2

d)

4

13.

 9x2=19^{x-2}=1  

a)

No Solution

b)

2

c)

-2

d)

All Real Numbers

14.

Solve the exponential function: 5x + 7 = 32

a)

x = 25

b)

x = 6

c)

x = 9

d)

x = 2

15.
Use a LOG to solve the exponential function.  
2x-1 + 5 = 20
a)
x = 3.91
b)
x = -0.46
c)
x = 4.91
d)
x = 5.31
16.

Solve the logarithmic function:

log7 (5x - 8) = log7 (2x + 10)

a)

x = -3

b)

x = 6

c)

x = No solution

d)

x = 4

17.

Solve the logarithmic function: log3(x + 5) = 2

a)

x = 14

b)

x = 4

c)

x = 11

d)

x = 6

18.

Solve the logarithmic function: log48x = 3

a)

x = 16

b)

x = 2

c)

x = 4

d)

x = 8

19.

log5(3x + 3) = log5(2x + 8)

a)

x = -4

b)

x = 5

c)

x = 1

d)

x= No solution

20.
Rewrite the equation in exponential form:
 logvn = a
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
21.

 Find the solution for X.
 log2(x1)=4\log_2\left(x-1\right)=4 

a)

x = 16

b)

x = 17

c)

x = -1

d)

x = 9