Question

equação exponencial: 9x-2=v27

Answer 1

 

 

9x - 2 = V27

 

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

 

3^(x-2) = 3^3/2

 

x - 2 = 3/2  mmc=2

 

2x - 2 = 3

 

2x = 3 +2

 

2x=5

 

x= 5/2

 

 

 

 

Answer 2

$<var>9^{x-2}=\sqrt{27} \rightarrow (3^2)^{x-2}=\sqrt{3^3}\rightarrow3^{2x-4}=3^{\frac{3}{2}}</var>$

 

$<var>3^{2x-4}=3^{\frac{3}{2}\rightarrow 2x-4=\frac{3}{2}\rightarrow 4x-8=3\rightarrow 4x=11\rightarrow x=\frac{11}{4}</var>$