How do you simplify e^{-\ln x}

Monique Slaughter 2021-12-13 Answered
How do you simplify elnx
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zesponderyd
Answered 2021-12-14 Author has 42 answers

Use it for solution:
Consider the generic case of log10(a)=b
Another way of writing this is 10b=a
Suppose a=10log10(10)=b
10b=10b=1
So loga(a)=1 - important example
use this principle

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Serita Dewitt
Answered 2021-12-15 Author has 41 answers

Write elnx as 1elnx
Let y=elnx1y=1elnx...Equation (1)
Consider just the denominators and take logs of both sides
y=elnxln(y)=ln(eln(x))
But for generic case ln(st)tln(s)
ln(y)=ln(x)ln(e)
But loge(e)ln(e)=1
ln(y)=ln(x)×1
Thus y=x
So Equation(1) becomes
1y=1eln(x)=1x
Thus elnx=1x

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