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Thread: natural log

  1. #1
    Junior Member shepherdm1270's Avatar
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    natural log

    what is (2e^6 - natural log of absolute value of 2) - (2e - natural log of absolute value of 1)??

    is it 2e^5- natural log of absolute value of 1??
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  2. #2
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    Quote Originally Posted by shepherdm1270 View Post
    what is (2e^6 - natural log of absolute value of 2) - (2e - natural log of absolute value of 1)??

    is it 2e^5- natural log of absolute value of 1??
    A) Do you mean:

    $\displaystyle (2e^6-\ln(|2|))-(2e-\ln(|1|))$ ? If so:

    1. Expand the brackets.
    2. Keep in mind that $\displaystyle \ln(1) = 0$

    3. You'll get: $\displaystyle 2e^6-\ln(|2|)-2e = 2e(e^5-1)-\ln(|2|)$

    B) Do you mean:

    $\displaystyle (2e^{6-\ln(|2|)})-(2e^{-\ln(|1|)})$ ? If so:

    1. Expand the brackets. $\displaystyle \ln(1) = 0$ and $\displaystyle e^0 = 1$

    2. You'll get: $\displaystyle \frac22 e^6 -2 = e^6-2$
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