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Math Help - Exponents and log

  1. #1
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    Exponents and log

    Can someone please help me.....I was given these problems to fix the errors!
    x3/2 = 27/64, so x = and ln(12 + x) = (ln 12)(ln x)
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  2. #2
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    \displaystyle x^{\frac{3}{2}}= \frac{27}{64}

    \displaystyle (\sqrt{x})^3= \frac{27}{64}

    \displaystyle \sqrt{x}= \frac{3}{4}

    \displaystyle x= \frac{9}{16}
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  3. #3
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    You have ln(12+x)=ln12+lnx Therefore ln(12+x)=ln12x if you put e to both logs you get 12+x=12x---->12=11x--->x=12/11

    I would normally be more wordy and explain each step but I see they don't do that here.
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  4. #4
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    Quote Originally Posted by radams33 View Post
    .....I was given these problems to fix the errors!
    ln(12 + x) = (ln 12)(ln x)
    Assuming this is an error?

    It should be

    \ln a +\ln b = \ln (a\times b)
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  5. #5
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    Yes I was given both of those equations to find the errors.
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  6. #6
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    Thank you everyone!
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