If 1, \log _{10}(4^{x}-2) and \log _{10}(4^{x}+\frac{18}{5}) are in arithmetic progression for a real number x, then the value of the determinant \left|\begin{array}{ccc}& & \ 2(x-\\\{1\end\frac{array}{2}) , x-1 , x^{2} ; 1 , 0 , x ; x , 1 , 0 |} \text{ is } [17 Mar 2021 Shift 2]

Matrices and Determinants Part 2

Section: Mathematics

Question : 62 of 100

Marks: +1, -0

If 1,log10(4x−2) and log10(4x+‌

) are in arithmetic progression for a real number x, then the value of the determinant |

‌

2(x−‌

)

x−1

|‌ is ‌

[17 Mar 2021 Shift 2]

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