Solve (with steps please)

(1/3)^x=sqrt(27)    we can rewrite this as

(3^-1)^x = 3*sqrt(3)     simplify

(3)^(-x)  = 3^1 * 3^(1/2) 

3^(-x)  = 3^(3/2)      and since we have equal bases, we can solve for the exponents

-x = 3/2      multiply both sides by -1 

So

x = -3/2