What is the solution to 3^(x)/(2)=81 2 -2 16 4 -8 none of this 8

the3^{\frac {x}{2}}=81$, we can rewrite 81 as $3^4$ and then equate the exponents:<br /><br />$3^{\frac {x}{2}}=3^4$<br /><br />$\frac {x}{2}=4$<br /><br />$x=8$<br /><br />So the correct answer is 8.