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

To solve the equation \( 27x^{3/4} - 1 = 26 \), let's start by isolating the term with \( x \):

1. Add 1 to both sides:
\[
27x^{3/4} = 26 + 1
\]
\[
27x^{3/4} = 27
\]

2. Divide both sides by 27:
\[
x^{3/4} = 1
\]

3. Now, raise both sides to the power of \( \frac{4}{3} \) to solve for \( x \):
\[
x = 1^{\frac{4}{3}} = 1
\]

Therefore, the correct answer is \( \boxed{1} \).