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math- check please

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1) True/false: For any real number x,
ln e^x = x.
I think that is true.

2)true/false:
(2 ln x)/ ln 10 = ln x^2 - ln 10 for all positive x.
I think this is true too.

  • math- check please -

    1) True. That's the definition of the natural log.

    2) No.
    ln(x^2/10) = 2lnx - ln 10

    That's not the same as 2lnx/ln10

    ln x2/ln 10 = log10x^2

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