Question

find the answer that you are

Answer 1

Here is your answer

$( \sqrt{6} ) {}^{x - 2} = 1 \\ ( \sqrt{6} ) {}^{x - 2} =( \sqrt{6} ) {}^{0} \\ x - 2 = 0 \\ x = 2$
Second Answer is
$3 {}^{4x} = \frac{1}{81} \\ 3 {}^{4x} = \frac{1}{3 {}^{4} } \\ 3 {}^{4x} = 3 {}^{ - 4} \\ 4x = - 4 \\ x = -1$
Hope it helps you