Page 4 - Past Year

2 | P a g e

(b) A . B

(c) A . C
17. Solve log x  4log 3   3.
3
x
Simplify the following expressions
18.


1
)
x 2 (x y 2 3
(a)
y  2
2 5
(b)
2 5  2

19. Find the values of x that satisfy the equation   7 3 2 9 x   3 x .


-1
x
20. By substituting a  3 , solve the equation 9  x 3 28(3 ).
x

21. Solve 3 ln 2x  3 ln 27
5 
22. Solve x e 3ln x  4x  21

2
4

log (x  4) 1 log (x  4)
23. Find the values satisfying the equation 4 4
5(2 ) 4  x 16

x
1
24. Solve the equation
25. By substituting a  2 , solve the equation 4  x 3  2 x 2
x
26. Given that 81  3 (2y 3)x and 2 18y 6x  64 . Find the possible values of and .x y
y
xy
10
27. Solve the equation3log 3 log 3 x 
3
x
3
3  10 3 x 1
  1 0 
2x
28. Solve the equation

29. Given P   ,7  , Q   3,4  and R  2,  . Represent P ,Q and R on a line number.
Hence, find the solution sets for P  ,Q  and P  R
'
R
Q
.
3
30. Solve the equation ln x    2 .
ln x
1 1
31. Prove that log    xy log x  log y
16
2 4 2 4
2x
x
9 3
32. Solve the equation   22 3   15 0  .


33. Given p  7 5 2 and q   7 5 2.Find the value of y such that

1  1  y  1 50 .
p  1 q  1