Question

resolva as equações exponenciais: 0,75^x=16/9​

Answer 1

$0.75^{x} = \frac{16}{9} \\ ( \frac{3}{4} )^ x = ( \frac{4}{3} ) ^{2} \\ ( \frac{3}{4} )^ x = ( \frac{3}{4} )^-2 \\ x = - 2$

Answer 2

Explicação passo-a-passo:

$(0.75 {)}^{x} = \frac{16}{9}$

$( \frac{75}{100} {)}^{x} = ( \frac{4}{3} {)}^{2}$

$( \frac{3}{4} {)}^{x} = ( \frac{4}{3} {)}^{2}$

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

$- x = 2$

$x = - 2$