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Thread: Can someone explain me this please

  1. #1
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    Can someone explain me this please

    I can't figure out the demonstration for alogbc= clogba
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  2. #2
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    Re: Can someone explain me this please

    Take logs (base $b$) and use $$\log_p q^r=r \log_p q$$
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  3. #3
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    Re: Can someone explain me this please

    Quote Originally Posted by gabytzu View Post
    I can't figure out the demonstration for alogbc= clogba
    Let's use the standard notation for natural logarithm, $\log(x)$.
    Now $\log_b(c)=\dfrac{\log(a)}{\log(b)}~\&~\log_b(c)=\ dfrac{\log(c)}{\log(b)}$

    Then is it true that $\log(a)\dfrac{\log(a)}{\log(b)}=\log(a)\dfrac{ \log(c)}{\log(b)}~?$
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  4. #4
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    Re: Can someone explain me this please

    Quote Originally Posted by plato View Post
    let's use the standard notation for natural logarithm, $\log(x)$.
    Now $\log_b(a)=\dfrac{\log(a)}{\log(b)}~\&~\log_b(c)= \dfrac{\log(c)}{\log(b)}$

    then is it true that $\log(c)\dfrac{\log(a)}{\log(b)}=\log(a)\dfrac{ \log(c)}{\log(b)}~?$
    Correction!
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