WorksheetsSolving Exponential Equations Without a Common Base
Total questions: 20
Worksheet time: 26mins
Name
Class
Date
1.
272x = 3x-7
a)
-7/3
b)
-1
c)
-5/7
d)
-7/5
2.
Solve for a:
5a + 2 = 1/125
5a + 2 = 1/125
a)
-1
b)
-6/7
c)
-5
d)
4
3.
Solve for x: 22x+8=16x
a)
x=8
b)
x=2
c)
x=4
d)
x=5
4.
Solve for x: 272x+1=3x+18
a)
x=2
b)
x=17/5
c)
x=15
d)
x=3
5.
Solve
a)
-1/3
b)
-3
c)
-1
d)
3
6.
Solve the following exponential equation:
98−x=27x−3
a)
x=5
b)
x=−5
c)
x=51
d)
x=−51
7.
Solve for b: 43b - 3 = 161
a)
7
b)
-1/4
c)
1/2
d)
1/3
8.
Solve for x: 2x+10=8x+1
a)
x=7/2
b)
x=7
c)
x=3
d)
x=-5
9.
a)
-3/7
b)
-2
c)
3/7
d)
No solution
10.
a)
4/3
b)
-4/3
c)
3/4
d)
-3/4
11.
Solve for y: 3y+4 = 81y-1
a)
y=2
b)
y=8/3
c)
y=0
d)
y=-1
12.
Solve for z: 52z-3 = 253z+1
a)
z=3
b)
z=-5/4
c)
z=0
d)
z=2
13.
Solve for n: 23n+2 = 4n+3
a)
n=1
b)
n=4
c)
n=2
d)
n=3
14.
Solve for x: 9x+2 = 272x-1
a)
x=4
b)
x=3
c)
x=2
d)
x=7/4
15.
Solve for m: 6m+1 = 36m-2
a)
m=1
b)
m=3
c)
m=0
d)
m=5
16.
Solve for k: 42k-3 = 64k-1
a)
k=1
b)
k=4
c)
k=0
d)
k=3
17.
Solve for x: 32x+1 = 9x+4
a)
x=4
b)
x=5
c)
x=3
d)
x=2
18.
Solve for y: 23y-2 = 4y+1
a)
y=1
b)
y=0
c)
y=3
d)
y=4
19.
Solve for z: 4z+3 = 16z-1
a)
z=5
b)
z=1
c)
z=0
d)
z=-1
20.
a)
2
b)
-2
c)
1
d)
-1
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