If x changes from 4 to 4.01 then find the approximate change in logex
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x =4
take log both sides
logx = log 4
x +dx =4.01
take log both side
log(x +dx) =log4.01
divide both expression,
log(x +dx )/x =log(4.01)/log4
log(x +dx -x ) =log(0.01)
logdx =log(10)^-2
log dx = -2 log10
= -2 × 2.3 = -4.6
take log both sides
logx = log 4
x +dx =4.01
take log both side
log(x +dx) =log4.01
divide both expression,
log(x +dx )/x =log(4.01)/log4
log(x +dx -x ) =log(0.01)
logdx =log(10)^-2
log dx = -2 log10
= -2 × 2.3 = -4.6
Answered by
46
answer is in the pic
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