Answer:
x = 162
Step-by-step explanation:
The equation editor lets you properly write exponents, so we have to assume that your equation is supposed to be equivalent to ...
27 = x/6
27·6 = x = 162 . . . . multiply by 6
_____
On the off chance you intend ...
[tex]27=\left(\dfrac{1}{3}\right)^{\dfrac{x}{2}}[/tex]
you can solve this by taking logarithms and dividing by the coefficient of x. Using base 3 for the logarithm may be easiest.
[tex]\log_3{(27)}=\dfrac{x}{2}\log_3{(3^{-1})}\\\\3=-\dfrac{x}{2} \qquad\text{simplify}\\\\-6=x \qquad\text{multiply by -2}[/tex]
This version of the equation has solution x = -6.
