x y log2 log8 - ) log2 log 4 (log 2 1 y x + + )2(log xy y5 log165log4

Expanding & Simplifying Logs – Sheet A
Expand the single logs and condense the multiple logs
1.
3.
log 3 5 x 3 y
1
(log 5 4  log 5 x  2 log 5 y)
2
5. log 5
7.
3q 6
5r 2
log 6 (8x3 y) 2
2.
4.
6.
Expanding & Simplifying Logs – Sheet B
Expand the single logs and condense the multiple logs
8 log 5 y  2 log 5 x
log 2 (2 xy ) 4
4 log 5 5  16 log 5 y
y8
2. log 5 2
x
1.
log 3 5  3 log 3 x  log 3 y
3.
log 5 4 xy 2
5.
1
(log 5 3  6 log 5 q)  (log 5 5  2 log 5 r )
2
 5 
log
5
6.
 y 4 
 
4.
(4 log 2 2  4 log 2 x  4 log 2 y)
4
7.
2(log 6 8  3 log 6 x  log 6 y)