Answer:
25.047 or roughly 25.
Step-by-step explanation:
I solved it wrong the first time then i double check with wolframalpha and got the correct number.
We know that the area of the tile is 18 [tex]\sqrt{3}[/tex] and it makes a triangle, we also know the base and height. In this case the base is 2[tex]\sqrt{3}^{x/12}[/tex] and the height is also given which is [tex]\sqrt{3}^{\frac{x}{6} }[/tex].
Area of triangle = [tex]\frac{bh}{2}[/tex],
substituting we will end up with 18 [tex]\sqrt{3}[/tex] =( 2[tex]\sqrt{3}^{x/12}[/tex] * [tex]\sqrt{3}^{\frac{x}{6} }[/tex]) / 2
Here is the tricky part [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex], i totally forgot about that lol.
Simplifying: we will get 18 [tex]\sqrt{3}[/tex] = [tex]3^{\frac{x}{8} }[/tex]
Now, in order to find the x, we will need to take the log of both sides.
[tex]log18\sqrt{3} = \frac{x}{8} log3[/tex]
Solving for x we end up getting:
[tex]8\frac{log18\sqrt{3} }{log3}[/tex] = x
where x = 25.047.
To be honest I deserve a nobel prize not a brainliest lol.
Good question bro, take it easy.
