If x³ = (9³ × 6³) / 8, x > 0, then what is the value of x?

If x + (1/x) = 3, then the value of x³ + (1/x³) is :

If 2^(x−1) + 2^(x+1) = 1280, then the value of x²+9x is

If x + (1/y) = 1 and y + (1/z) = 1, then the value of z + (1/x) is

If a - b = 4 and ab = 12, what is the value of a² + b²?

Find the value of x, if 3⁴ × 3ˣ = 3⁸: