What is the inverse of y = ln x?

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What is the inverse of y = ln x?

2006-09-12 14:03:07 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

The inverse of the natural log (ln) is to raise e (2.71828...) to that power.

So put e to the power of both sides:
e^y = e^ln x

But e^ln x = x, so:
e^y = x

Reversing it:
x = e^y

2006-09-12 14:04:59 · answer #1 · answered by cg-productions 4 · 0⤊ 0⤋

The inverse of the natural log (ln) is to raise e (2.71828...) to that power.

So put e to the power of both sides:
e^y = e^ln x

But e^ln x = x, so:
e^y = x

Reversing it:
x = e^y

2006-09-12 21:10:43 · answer #2 · answered by Anonymous · 0⤊ 0⤋

y = ln(x)
x = ln(y)
e^x = y

y^-1 = e^x

2006-09-12 23:59:18 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋