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If y=lnx then how does x=e^y

BULL14

^^^^^

Reply 1

math42

Do you know what a logarithm is?

Reply 2

liverpool786110

You have to raise both sides by power e to remove the ln.

Reply 3

TheRickestMike

That's literally the definition of the natural logarithm.
Think of it like this:
If x=y then e^x = e^y
So if y=lnx then e^y = e^lnx
e^lnx is x.
Therefore if y=lnx then e^y=x

(edited 6 years ago)

Reply 4

S.G.

Not multiply, take exponentials (which is what you probably meant anyway)

Reply 5

Quirky Object

Original post by BULL14

^^^^^

ln is just a way of saying "log to base e", so

y = \log_e{x}

. That means

x

can be written as

e^y

. If that sounds unfamiliar to you, you might want to look over logarithms again.

(Moved to maths)

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If y=lnx then how does x=e^y

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