# Math Help - Quickie #19

1. ## Quickie #19

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

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

2. Originally Posted by Soroban

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