7. If
n n
n n
a a
x
a a
then
1 1 log
2 1 a
x
x
(1) n (2) 1/n (3) 2n (4) 2/n
8. If f(x) = log x, g(x) = x3
then f(g(a)) + f(g(b)) =
(1) f [g (ab)] (2) g [f (ab)] (3)
f g a
b
(4)
g f a
b
9. If (3.7)x
= (0.037)y
= 10000 then
1 1
x y
(1) 1/3 (2) 1/4 (3) 1/2 (4) 1/5
10. If
2 4 8 log log log 11 xxx
then x =
(1) 64 (2) 32 (3) 16 (4) 8
11. If
3 83 4
9 2
log log log 4 9 10 x
then x =
(1) 1 (2) 10 (3) 1/10 (4) 100
12. If a2
+ b2
= 7ab then 2 log (a - b) =
(1) log 5 + log a + log b (2) 2 log 5 + log a + log b
(3) log 5 - log a - log b (4) log 5 - log a + log b
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