Question

Find a + b, if b^a = 64 and a^b = 81

Answer 1

$\bf \begin{array}{llll} b^a=64\qquad \boxed{64=4^3}\qquad b^a=4^3 \\\\\\ a^b=81\qquad \boxed{81=3^4}\qquad a^b=3^4 \end{array} \qquad \begin{cases} a=3\\ b=4 \end{cases} \\\\\\ a+b\implies 3+4$