Font size
S
M
L
XL
Worksheetsadd maths (c4)
Total questions: 20
Worksheet time: 59mins
Name
Class
Date
1.
If 3x = y, which of the following is true?
a)
log3y = x
b)
log3x = y
c)
logxy = 3
d)
logy3 = x
2.
If loga8 = b, which of the following is true?
a)
ab = 8
b)
ba = 8
c)
a8 = b
d)
8b = a
3.
Simplify log(12) + log (6)
a)
log(72)
b)
log(18)
c)
log(6)
d)
log(2)
4.
Simplify: log(3) + 2log(5)
a)
log(75)
b)
2log(15)
c)
log(30)
d)
log(13)
5.
Simplify: 2log(x) + 3log(xy)
a)
log(x5y3)
b)
log(5xy)
c)
5log(x2y)
d)
log(6x2y)
6.
Simplify: log(24) - log(8)
a)
log(3)
b)
log(16)
c)
4log(2)
d)
-log(32)
7.
Simplify: log(16) - 3log(2)
a)
log(2)
b)
log(10)
c)
-3log(8)
d)
3log(14)
8.
Simplify: 3log(xy) - 2log(x)
a)
log(xy3)
b)
log(y)
c)
1.5log(x2y)
d)
Can't be simplified
9.
What is the most simple answer possible:
logx(x3y) - logx(xy)
logx(x3y) - logx(xy)
a)
logx(x2)
b)
2
c)
logx(x4-y2)
d)
x
10.
Solve for x:
log(3x-1) - log(5) = 2
log(3x-1) - log(5) = 2
a)
x = 167
b)
x = 500
c)
x = 2
d)
x = 3.67
11.
a)
6log8(xyz)
b)
log8(x) - log8(y) - 6log8(z)
c)
log8(x) + log8(y) - log8(z)
d)
log8(x) + log8(y) + 6log8(z)
12.
a)
log(x) + log(z) + 4log(y)
b)
3log(x) − log(z) − 4log(y)
c)
3log(x) + log(z) + 4log(y)
d)
log(x) − 4log(z) − 3log(y)
13.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
14.
Evaluate
a)
2
b)
4
c)
-2
d)
1
15.
Evaluate
a)
2
b)
0.5
c)
9
d)
3
16.
Find the value of x if 162x − 1 = 64.
a)
1.5
b)
1.25
c)
−1.25
d)
54
17.
Simplify 21log4−log6
a)
log 3
b)
log 42
c)
log 32
d)
log 31
18.
Given y=log35. find the value of 9y. Then, if x = y+2, find 9x.
a)
9y=5 and 9x=405
b)
9y=25 and 9x=2025
c)
9y=20 and 9x=1620
d)
9y=10 and 9x=810
19.
Express log2(81)=−3 in index form.
a)
2−3=81
b)
−32=81
c)
281=−3
d)
−381=2
20.
Simplify log3 9 + log3 27.
(a)
Reset
