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    I have tried relentlessly to answer this but I cant

    Would someone please please help me? thanks
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    Sometimes it actually helps to go back and think about what \log means.

    \log_4 3 is essentially asking you to solve 4^x = 3

    So what is \log_2 \sqrt{3} in the above format?

    Also, can you please try post these in the Academic subsection.
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    (Original post by Noble.)
    Sometimes it actually helps to go back and think about what \log means.

    \log_4 3 is essentially asking you to solve 4^x = 3

    So what is \log_2 \sqrt{3} in the above format?

    Also, can you please try post these in the Academic subsection.
    2^x = sqrt3 ?

    Sorry I have not learned latex yet

    And yep sorry for posting it here
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    Yes, although do not use x again, because then you're essentially implying \log_4 3 = \log_2 \sqrt{3} before you've actually properly shown it.

    Ok, so you know that \log_4 3 is the real solution to 4^x = 3

    and you know that \log_2 \sqrt{3} is the real solution to 2^y = \sqrt{3}

    Now what you want to show is that x=y - do you see how to do this?
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    (Original post by Noble.)
    Yes, although do not use x again, because then you're essentially implying \log_4 3 = \log_2 \sqrt{3} before you've actually properly shown it.

    Ok, so you know that \log_4 3 is the real solution to 4^x = 3

    and you know that \log_2 \sqrt{3} is the real solution to 2^y = \sqrt{3}

    Now what you want to show is that x=y - do you see how to do this?
    Umm I am really really not sure at all would you mind explaining? thanks :/
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    Ok, if you square the second equation you get

    (2^y)^2 = (\sqrt{3})^2

    2^{2y} = 3

    4^{y} = 3

    So clearly, x=y
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    log_43 = x

    so

    3 = 4^x = (2^x)^2

    so

    \sqrt{3} = 2^x

    Can you finish this
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    Hello

    I just attached a picture of my answer to your question. I've tried my best and sorry for any mistakes.


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    Could I also ask you further that which subject does this topic belong to and in which university ? I'm taking my first year of Math this year and not sure about the difficulty of each university.


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    (Original post by Prospective UK)
    Could I also ask you further that which subject does this topic belong to and in which university ? I'm taking my first year of Math this year and not sure about the difficulty of each university.


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    This as A Level
 
 
 
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