Understanding Engineering Mathematics

(やまだぃちぅ) #1

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
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