NEW
Font size
S
M
L
XL
WorksheetsLAWS OF LOGARITHM
Total questions: 10
Worksheet time: 6mins
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.
Evaluate logb(b)
a)
-1
b)
0
c)
1
d)
b
7.
Simplify log443x
a)
3x
b)
3
c)
4
d)
43x
8.
Expand
a)
A
b)
B
c)
C
d)
D
9.
State the property / properties
used to simplify the expression
log420 - 3log4x = log4(20/x3)
a)
Power Property
b)
Quotient Property
c)
Quotient and Power Property
d)
Product and Power Property
10.
Condense the following logarithm: lnx + ln4
a)
ln 4x
b)
ln 4/x
c)
log 4 + log x
d)
ln x4
Reset
