Question

решить уравнение
$(0.75) {}^{x - 1} = (1 \frac{1}{3} ) {}^{2}$

Answer 1

$(0,75) ^{x - 1} = \left(1 \frac{1}{3}\right) ^{2}$

$\left( \frac{3}{4} \right) ^{x - 1} = \left( \frac{4}{3}\right) ^{2}$

$\left( \frac{3}{4} \right) ^{x - 1} = \left( \frac{3}{4}\right) ^{-2}$

$x-1=-2$

$x=-2+1$

$x=-1$