2019 · Q47
If a^x = b^y = c^z and b² = ac, then what is 1/x + 1/z equal to?
Elementary MathematicsAlgebra
- A1/y
- B-1/y
- C2/y
- D-2/y
Explanation
Write a = k^{1/x}, b = k^{1/y}, c = k^{1/z} where k is the common value. Then b^2 = ac gives k^{2/y} = k^{1/x+1/z}, so 1/x + 1/z = 2/y.