Question

9 powered -4 × 3 powered x = 3⁶
ANSWER in exponential form only

Answer 1

${ \large\mathtt{\blue{Answer :}}}$

$9 {}^{ - 4} \times 3 {}^{x} = 3 {}^{6} \\ (3 {}^{2} ) {}^{ - 4} \times 3 {}^{x} = 3 {}^{6} \\ 3 {}^{ - 8} \times 3 {}^{x} = 3 {}^{6} \\ 3 {}^{ - 8 + x} = 3 {}^{6} \\ 3 {}^{x - 8} = 3 {}^{6} \\ x - 8 = 6 \\ x = 6 + 8 \\ x = 14$

${ \boxed{ \sf\mathtt{\green{x = 14}}}}$