Select the correct answer to the following equation: 27x^3/4−1=26.(1 point)
Responses
0
1
25/27
3
3
To solve the equation, we need to isolate the variable x. Let's go step-by-step:
Step 1: Move the constant term to the other side of the equation.
27x^(3/4) - 1 = 26
27x^(3/4) = 26 + 1
27x^(3/4) = 27
Step 2: Divide both sides of the equation by 27.
27x^(3/4)/27 = 27/27
x^(3/4) = 1
Step 3: Take the fourth root of both sides to eliminate the exponent.
(x^(3/4))^(4/3) = 1^(4/3)
x = 1^(4/3)
x = 1
Therefore, the correct answer is 1.