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 start by isolating \( 27x^{3/4} \):

\[
27x^{3/4} = 26 + 1
\]

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

Next, we can divide both sides by 27:

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

Now, to eliminate the exponent \( \frac{3}{4} \), we raise both sides to the reciprocal power \( \frac{4}{3} \):

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

Thus, the solution for \( x \) is:

\[
x = 1
\]

Therefore, the correct answer is:

**1**