Solve for $x$ : \[ 3^{x}=26 \] \[ x= \] You may enter the exact value or round to 4 decimal places.

Step 1 ：The equation is in the form of \(a^{x}=b\). To solve for \(x\), we can take the natural logarithm (ln) of both sides of the equation. This will give us \(x=\frac{\ln(b)}{\ln(a)}\).

Step 2 ：In this case, \(a=3\) and \(b=26\). We can substitute these values into the equation to find \(x\).

Step 3 ：\(x = \frac{\ln(26)}{\ln(3)}\)

Step 4 ：Calculating the above expression gives us \(x = 2.96564727304425\)

Step 5 ：Rounding to 4 decimal places, the solution to the equation \(3^{x}=26\) is \(x=\boxed{2.9656}\)