Question

if a^x=b,b^y=c and c^z=a,then prove that xyz=1

Answer 1

Hi , there !!


here is your answer!!


a ^ x = b -------------------(1)


b ^ y = c ---------------------(2)




c ^ z = a -----------------------(3)




on multiply equation 1 ,2, and 3



we get





$a {}^{x} \times b {}^{y} \times c {}^{z} = abc$



$abc {}^{xyz} = abc$




xyz = 1



hence , proved !!



hope it helps you dear !!!



thanks !!!

Answer 2

$hi \: \\ \\ here \: is \: your \: answer \\ \\ \\ \: {a}^{x} = b - - - - - - - - (1)\\ \\ \\ {b}^{y} = c - - - - - - - - (2)\\ \\ {c}^{z} = a - - - - - - - - (3) \\ \\ on \: multiplying \:(1)\: (2) \: (3) \\ \\ {a}^{x} {b}^{y} {c}^{z} = abc \\ \\ {abc}^{xyz} = abc \\ \\ so \: xyz = 1 hence proved \\ \\ \\ hope \: it \: helps \: u \\ \\ \\ thank \: you$