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Math Help - logarithmic question

  1. #1
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    logarithmic question

    I need help with some examples :

    a) 100 ^1+log5
    b) 8^log2(5 - 1/3)

    what kinds of formulas should I use?

    In the first example I'm thinking about changing 1 to log5 (5), but I don't know if it has any sense
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  2. #2
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    a) 100 ^1+log5
    Do you mean 100^1+\log 5 or 100^{1+\log 5}, and log to what base?

    b) 8^log2(5 - 1/3)
    Rewrite 8 as 2^3 and use (a^b)^c=a^{bc} and 2^{\log_2x}=x.
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  3. #3
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    Quote Originally Posted by emakarov View Post
    or 100^{1+\log 5}
    I meant this one. Exactly, index of the power amount to 1 + log5
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  4. #4
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    Assuming you mean \log_{10}(5) then \displaystyle 10^{\log(5)}=5.
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