Question

PFA
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Answer 1

Step-by-step explanation:

$log_{2}( log_{3}( log_{4}(x) ) ) = 0 \\ log_{3}( log_{4}(x) ) = {2}^{0} \\ log_{3}( log_{4}(x) ) = 1 \\ log_{4}(x) = {3}^{1} \\ log_{4}(x) = 3 \\ x = 4 {}^{3} = 64 \\ log_{3}( log_{4}( log_{2}(y) ) ) = 0 \\ log_{4}( log_{2}(y) ) = 1 \\ log_{2}(y) = 4 \\ y = 2 {}^{4} = 16 \\ log_{4}( log_{2}( log_{3}(z) ) ) = 0 \\ log_{2}( log_{3}(z) ) = 1 \\ log_{3}(z) = 2 \\ z = {3}^{2} = 9 \\ x + y + z = 64 + 16 + 9 = 89$