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Math Help - Removing (log) from an equality

  1. #1
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    Red face Removing (log) from an equality

    Given: 0.352 = -log T How do you isolate T?
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by dclivefree View Post
    Given: 0.352 = -log T How do you isolate T?
    Does \log(T)=\log_{10}(T)\text{ or }\ln(t)=\log_e(T)?

    Either way

    -\log(T)=\log\left(\frac{1}{T}\right)

    So \frac{1}{T}=(e\text{ or }10)^{.352}
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  3. #3
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    Quote Originally Posted by dclivefree View Post
    Given: 0.352 = -log T How do you isolate T?
    Alternatively:

    0.352 = -log T => -0.352 = log T => T = a^{-0.352} where a is the base of the logarithm. If the base is 10, then T = 10^{-0.352} = .....
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    Thank you Mr. Fantastic

    Thank you Mr. Fantastic. You truely are. This is the second time you bailed me out. I am a 44 year old going back to college. I quickly realized that I have much to learn. Thanks again.
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