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

To solve the equation \( 27^{\frac{3x}{4}} - 1 = 26 \), we can first simplify it:

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

2. Recognize that \( 27 = 27^1 \). Therefore, we can set the exponents equal to each other:
\[ \frac{3x}{4} = 1 \]

3. Multiply both sides by 4:
\[ 3x = 4 \]

4. Divide both sides by 3:
\[ x = \frac{4}{3} \]

The answer didn't match any provided options. Could you please check the original equation or given options? The computation shows that the solution is \( x = \frac{4}{3} \), which corresponds to approximately 1.33.