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If x changes from 4 to 4.01 then find the approximate change in log x. |
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Answer»
X =4 take log both sideslogx = 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)⁻²log dx = -2 log10 = -2 × 2.3 = -4.6 log 10=2.3? |
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