The value of a^ _b c -c^ _b a , where a, b, c>0 but a, b, c 1 , is

Step-by-step solution

array ll Let y=C^ _b a _C y= _b a y c = a b & [ _a b= b a ] array aligned & y a = c b _a y= _b c & y=a^ _b c [ _a x=y a^y=x ] & a^ _b c -c^ _b a =a^ _b c -a^ _b c & =0 & aligned