Question

3/2 la puterea x =2,25

Answer 1

(3/2)=1,5
1,5^x=2,25=1,5²
1,5=1,5
⇒x=2
as simple as that!!!!

Answer 2

[tex]\it \left(\dfrac{3}{2}\right)^x = 2,25 \Rightarrow \left(\dfrac{3}{2}\right)^x = \dfrac{\ \ 225^{(25}}{100} \Rightarrow \left(\dfrac{3}{2}\right)^x = \dfrac{9}{4} \Rightarrow \\\;\\ \\\;\\ \Rightarrow \left(\dfrac{3}{2}\right)^x = \left(\dfrac{3}{2}\right)^2 \Rightarrow x = 2[/tex]