If log x+7/2 (x+7/2x+3)^2 ≥ 0, then total number of integral solution(s) is/are____.

Question

If  \(log_{x+\frac{7}{2}}(\frac{x+7}{2x+3})^2≥0,\) then total number of integral solution(s) is/are____.

Answer 1

Correct answer is 8

∴ integral values of x = {–3, –2, –1, 0, 1, 2, 3, 4} = 8 values