Question-209062

Question Number 209062 by hardmath last updated on 01/Jul/24

Answered by som(math1967) last updated on 01/Jul/24

x^{y^{z}} = 1

x, y, z \in N \Rightarrow 1^{y^{z}} = 1 \Rightarrow x = 1

y^{z^{x}} = 125 \Rightarrow y^{z} = 5^{3} \Rightarrow y = 5 \Rightarrow z = 3

z^{y^{x}} = 3^{5^{1}} = 243

9 x + 10 y - 18 z = 9 + 10 \times 5 - 18 \times 3

= 5