Question

Me ajudem por favor, equação exponencial ^_^ 

Answer 1

1° 
$( \sqrt[4]{3} )^{x}= \sqrt[3]{9}$
$(3^{ \frac{1}{4} })^{x}= \sqrt[3]{3^2}$
$(3^{ \frac{1}{4} })^{x}= 3^{ \frac{2}{3} }$
$\not{3}^{ \frac{1x}{4} }=\not{3}^{ \frac{2}{3} }$

$\frac{1x}{4} = \frac{2}{3} ~\to~3x=8~\to~\boxed{x= \frac{8}{3}}$

2°

$8^{x}=0.25\\8^{x}= \frac{25}{100} \\8^{x}= \frac{1}{4}$

$(2^3)^{x}=2^{-2}\\\not{2}^{3x}=\not{2}^{-2}$

$3x=-2~\to \boxed{x= \frac{-2}{3}}$

3°

$( \sqrt[6]{2} )^{x}=0.5\\( \sqrt[6]{2} )^{x}= \frac{5}{10}$

$( \sqrt[6]{2} )^{x}= \frac{1}{2}$

$2^{ \frac{1x}{6} }=2^{-1}$

$\boxed{x=-6}$