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March 26, 2017

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log(2.848) = 1.602 * 1.778


Is this a true statement? Why or why not?

  • math - ,

    log(2.848)=
    log(2*sqrt2)=log2+logsqrt2
    = log2+1/2 log2=3/2 log2 which is nowhere near 1.602*1.778

    additionally, the product on the right is approximately 2.4
    taking the antilog of each side
    antilog 2.848 is between zero and one (2.8 is less than ten).
    the right side is 2.4
    so it icannot be true.

  • math - ,

    Thank you for the clarification!

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