B. (i) ln 3+2lnx+lny (ii) 3+2log 2 x+3log 2 y
(iii) A−B (iv) x+alogay
(v) 3+2log 2 ax+4log 2 ay (vi) 2 lnx+2lny+2lnz
C. (i)
9 x
4 a
(ii)
a−^2 x+^3
2
D. (i) 5 (ii) 2 (iii) 2
(iv) 4 (v)^12 (vi) 2001
(vii) − 2 (viii) −1(ix)^13
E. (i) 2 (ii) 3 (iii)^23
(iv) −10 log 2 (v) log 7
F.y=
1
x
√
x− 1
x+ 1
e−^3 x−C
4.3.7 Some applications of logarithms
A.(i) 2.528 (ii) 0.792 (iii) 0.809 (iv) 0.828
B. (i) lny=ln 4+7lnx (ii) lny=ln 3−4lnx (iii) lny=ln 5−3lnx
(iv) lny=ln 20− 2 x (v) lny=(4ln2)x−ln 2