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Math Help - 0.0042 is same as 10 in power of what?

  1. #1
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    Unhappy 0.0042 is same as 10 in power of what?

    10 in power of what (?) is same as 0.0042? any help...
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  2. #2
    MHF Contributor Unknown008's Avatar
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    Let the number you are looking for be x.

    10^x = 0.0042

    You can put log on both sides;

    \log 10^x = \log 0.0042

    x \log 10 = \log 0.0042

    x = \log 0.0042

    Can you complete it now?
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  3. #3
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    I think you're wrong since! log(0.0042) =-5.472670753692815 and 10^-5.472670753692815=3.367667814600788e-06 or?
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  4. #4
    MHF Contributor Unknown008's Avatar
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    Um... by log, I mean log to base 10... not log to base e... if the latter was the case, I would have written ln..
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  5. #5
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    Thank you mate! I wish you a nice day...
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  6. #6
    MHF Contributor Unknown008's Avatar
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    Cheers!
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  7. #7
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    Tattoo this on your wrist: if a^p = b, then p = log(b) / log(a)
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