To solve the equation \( 27x^{\frac{3}{4}} - 1 = 26 \), we will follow these steps:
- Start by isolating the term with \( x \):
\[ 27x^{\frac{3}{4}} - 1 = 26 \]
Add 1 to both sides:
\[ 27x^{\frac{3}{4}} = 27 \]
- Now divide both sides by 27:
\[ x^{\frac{3}{4}} = 1 \]
- To solve for \( x \), raise both sides to the power of \( \frac{4}{3} \):
\[ x = 1^{\frac{4}{3}} = 1 \]
Thus, the correct answer is:
1
3 answers