Question

me ajudem nessa conta 9^x+1 = √3 (equação exponencial) e me expliquem passo a passo pfb

Answer 1

Resposta:

9^(x+1) = √3  

(3²)^(x+1) = √3

3^(2x+2)=√3

3^(2x+2)=3^(1/2)

 2x+2=1/2

 2x=1/2-2  

2x=-3/2  

x= -3/4

Answer 2

Resposta:

x=-3/4

Explicação passo-a-passo:

$\sqrt[n]{x^{p} } =x^{\frac{p}{n} }\\\\(a^{x})^{n}=a^{x.n}\\\\9^{(x+1)=\sqrt{3} }\\\\(3^2)^{(x+1)}=3^{\frac{1}{2}}\\\\3^{2x+2}=3^{\frac{1}{2}}\\\\2x+2=\frac{1}{2}\\\\4x+4=1\\\\4x=-3\\\\x=-\frac{3}{4}$