WorksheetsLaws of logarithm
Total questions: 12
Worksheet time: 4mins
Name
Class
Date
1.
Expand the following logarithm:
log2 5x.
log2 5x.
a)
log2 5 - log2 x
b)
log2 5 + log2 x
c)
2log 5 + 2log x
d)
log5 2 + logx 2
2.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
3.
Rewrite logb(xn)
a)
nlogbx
b)
(logbx)n
c)
xnlogbx
d)
logb(xn)
4.
a)
6log8(xyz)
b)
log8(x) - log8(y) - 6log8(z)
c)
log8(x) + log8(y) - log8(z)
d)
log8(x) + log8(y) + 6log8(z)
5.
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)
6.
According to exponent rules, when we multiply terms with the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
7.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
8.
According to exponent rules, when we raise a power to another power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
9.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
10.
Expand the following logarithm:
log2 6/y
log2 6/y
a)
log2 6 - log2 y
b)
log2 y - log2 6
c)
2log 6 + 2log y
d)
log2 6 - y
11.
Simplify log(12) + log (6)
a)
log(72)
b)
log(18)
c)
log(6)
d)
log(2)
12.
Simplify: log(24) - log(8)
a)
log(3)
b)
log(16)
c)
4log(2)
d)
-log(32)
100 %
