Question

alguém me ajuda nessa??​

Answer 1

a)

${3}^{2t } = {3}^{t} . \sqrt{3} \\ {3}^{2t} = {3}^{t} . {3}^{ \frac{1}{2} } \\ {3}^{2t} = {3}^{t + \frac{1}{2} } \\ {3}^{2t } = {3}^{ \frac{2t + 1}{2} } \\ 2t = \frac{2t + 1}{2} \\ 2t + 1 = 4t \\ 4t = 2 t + 1 \\ 4t - 2t = 1 \\ 2t = 1 \\ t = \frac{1}{2}$

b)

${ {(5}^{ - 1}) }^{x} = {5}^{4} \\ {5}^{ - x } = {5}^{4} \\ - x = 4 \\ x = - 4$