Select the correct answer to the following equation: 27x^3/4−1=26 .(1 point)

To solve the equation \( 27x^{3/4} - 1 = 26 \), we first add 1 to both sides:

\[
27x^{3/4} = 27
\]

Next, we divide both sides by 27:

\[
x^{3/4} = 1
\]

To isolate \( x \), we raise both sides to the power of \( \frac{4}{3} \):

\[
x = 1^{\frac{4}{3}} = 1
\]

Thus, the solution to the equation is \( x = 1 \).

Therefore, the correct answer is:

\[
\boxed{1}
\]