27=(1/3)x/2\\

Question

`27=(1/3)x/2\\`

Answer 1

x = 162

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 ...

`27=\left((1)/(3)\right)^{(x)/(2)}`

you can solve this by taking logarithms and dividing by the coefficient of x. Using base 3 for the logarithm may be easiest.

`\log_3{(27)}=(x)/(2)\log_3{(3^(-1))}\\\\3=-(x)/(2) \qquad\text{simplify}\\\\-6=x \qquad\text{multiply by -2}`

This version of the equation has solution x = -6.