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Math Help - Quickie #19

  1. #1
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    Quickie #19


    Solve: . \log_2\left[\log_3\left(\log_4x\right)\right] \:=\:\log_3\left[\log_4\left(\log_2y\right)\right] \:=\:\log_4\left[\log_2\left(\log_3z\right)\right] \:=\:0


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  2. #2
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    Quote Originally Posted by Soroban View Post

    Solve: . \log_2\left[\log_3\left(\log_4x\right)\right] \:=\:\log_3\left[\log_4\left(\log_2y\right)\right] \:=\:\log_4\left[\log_2\left(\log_3z\right)\right] \:=\:0


    . . (Not really difficult, but I like its appearance.)
    Hello, Soroban,

    the contents in these brackets [..] must be 1 allways. Then you can solve these reduced equations.

    I've got: x = 64; y = 16; z = 9

    EB
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