If $x^{\frac{3}{4}}=5$, then $x=$

Step 1 ：Given the equation \(x^{\frac{3}{4}} = 5\)

Step 2 ：To solve for \(x\), we need to get rid of the fractional exponent. We can do this by raising both sides of the equation to the power of \(\frac{4}{3}\), which is the reciprocal of \(\frac{3}{4}\). This will leave us with \(x\) on the left side of the equation.

Step 3 ：\(x = 5^{\frac{4}{3}}\)

Step 4 ：Solving the above equation gives us the final answer

Step 5 ：Final Answer: \(x = \boxed{8.54987973338348}\)