# Why does 2^x = e^(x*ln2) ?

Please explain! I'm so confused :(

### 1 Answer

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- Anonymous8 years ago
because of natural logarithm rules, x*lny=ln(y^x)

so, e^(x*ln2)=e^(ln(2^x))

e^ln(2^x) is basically saying, okay, e^? = e^(2^x). well...?=2^x

and, obviously, 2^x=2^x

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