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

Please explain! I'm so confused :(

1 Answer

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  • Anonymous
    8 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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