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Math Help - Help with two quick q's - logs and exps

  1. #1
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    Help with two quick q's - logs and exps

    I'm doing maths for computer science at uni after not having done maths for 2 years (since GCSE), so I'm having some troubles... I've been set a bunch of homework q's about logs and exps, and I can do all the solving ones and most of the simplification ones. Except for these two:

    Simplify:
    100^{log(t)} (this one looks simple to me already haha! I have no idea where to go with it)
    and
    10^{ln(x)}

    Sorry, the answers are probably blatently obvious to anyone with half a brain but I'm just not sure what to do... arghh
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  2. #2
    Member Henderson's Avatar
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    100^{log(t)} = (10^2)^{log(t)}
    = 10^{2log(t)} = 10^{log(t^2)}
    = t^2

    Theo other one we can manipulate, but I don't know that it becomes any simpler:

    10^{ln(x)} = (e^{ln(10)})^{ln(x)}
    = e^{ln(10)ln(x)} = e^{ln(x^{ln(10)})}
    = x^{ln(10)}
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  3. #3
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    Quote Originally Posted by Henderson View Post
    100^{log(t)} = (10^2)^{log(t)}
    = 10^{2log(t)} = 10^{log(t^2)}
    = t^2
    Ahh right, I suspected it had something to do with making 100 into 10^2 but I didn't get any further! Thanks for the help with both of them
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