WorksheetsLaws of Logarithmics
Total questions: 16
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
Rewrite in exponential form:
2=log9x
2=log9x
a)
9x=2
b)
2x=9
c)
29=x
d)
92=x
2.
Write logb(xy) as two logs
a)
logbx+logby
b)
logbx-logby
c)
logbx*logby
d)
logbx/logby
3.
log (a * b) = ?
a)
log a * log b
b)
log a + log b
c)
log a - log b
d)
a*log b
4.
log (2 * 3) = ?
a)
log 2 + log 3
b)
log 2 * log 3
c)
log 2 - log 3
d)
log 5
5.
log (a2 * b) = ?
a)
2log(a) + log(b)
b)
2log(a) + 2log(b)
c)
log(a) + log(b)
d)
2log(a) * log(b)
6.
a)
2ln(xyz)
b)
ln(x) + ln(y) + ln(z)
c)
ln(x) - ln(y) - 2ln(z)
d)
ln(x) + ln(y) + 2ln(z)
7.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
8.
log (2 / 3) = ?
a)
log 2 + log 3
b)
log 2 / log 3
c)
log 2 - log 3
d)
2/3 * log 1
9.
Expand log(x²/y³). Choose the best answer.
a)
log x²+log y³
b)
2 log x + 3 log y
c)
log x + log y
d)
2log x² +3 logy³
10.
a)
log (xy3)
b)
log (x6 − y3)
c)
log (x6/y3)
d)
log (x6 + y3)
11.
Rewrite logb(xn)
a)
nlogbx
b)
(logbx)n
c)
xnlogbx
d)
logb(xn)
12.
Write the expression as a single logarithm. Then simplify if possible.
log53 + log56 + log59
log53 + log56 + log59
a)
log569
b)
log556
c)
log5162
d)
log598
13.
a)
ln(wvu5)
b)
ln(u + v + w5)
c)
ln(uvw5)
d)
ln(uvw)5
14.
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
15.
Condense the following logarithm: lnx + ln4
a)
ln 4x
b)
ln 4/x
c)
log 4 + log x
d)
ln x4
16.
Condense: log16 + log2 - log8
a)
log4
b)
log8
c)
log10
d)
log24
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