HW 3.0.2: Expand and Condense Logarithms
In Exercises 1 – 15, expand the given logarithm and simplify. Assume when necessary that all quantities
represent positive real numbers.
1.
ln x5y3
( )
2.
log3
81
x2+5
⎛
⎝
⎜⎞
⎠
⎟
3.
log6
x
216
⎛
⎝
⎜⎞
⎠
⎟
4
4.
log 3.21 ×1041
( )
5.
ln x
3
y z
⎛
⎝
⎜⎞
⎠
⎟
6.
log8x2−64
( )
7.
ln(256)
4
8.
ln 64
( )
2
9.
ln 81
( )
4
10.
log 39x4
( )
11.
log1
4
16z x 3−27
( )
( )
12.
log 100y7z10
( )
13.
log 10000 x
3y
1000
5
⎛
⎝
⎜⎞
⎠
⎟
14.
ln ex
yz
3
⎛
⎝
⎜⎞
⎠
⎟
15.
log4
1024
xy2
⎛
⎝
⎜⎞
⎠
⎟
2
