Question

Resolva as Equações Exponencial

Answer 1

Vamos por partes:

g)
${7}^{x} = \sqrt[3]{49}$
${7}^{x} = \sqrt[3]{ {7}^{2} }$
${7}^{x } = {7}^{ \frac{2}{3} }$
$x = \frac{2}{3}$
h)
${9}^{x} = \frac{1}{27}$
${3}^{2x} = {27}^{ - 1}$
$3 {}^{2x} = {3}^{ - 3}$

$x = - \frac{3}{2}$
i)
${3}^{x} = \sqrt{27}$
${3}^{x} = \sqrt{ {3}^{3} }$
${3}^{x} = {3}^{ \frac{3}{2} }$
$x = \frac{3}{2}$
j)
${8}^{x} = \sqrt{32}$
${2}^{3x} = \sqrt{ {2}^{5} }$
${2}^{3x} = {2}^{ \frac{5}{2} }$
$x = \frac{5}{6}$