Mathematics · 2021
JEE Main · 17 March 2021, Shift 2 · Q83
If 1, log_10(4^x-2) and log_10(4^x+18/5) are in arithmetic progression for a real number x, then the value of the determinant |2(x-1/2), x-1, x^2; 1,…
If $\displaystyle 1, \log _{10}\left(4^x-2\right)$ and $\displaystyle \log _{10}\left(4^x+\frac{18}{5}\right)$ are in arithmetic progression for a real number $\displaystyle x$, then the value of the determinant $\displaystyle \left|\begin{array}{ccc}2\left(x-\frac{1}{2}\right) & x-1 & x^2 \\ 1 & 0 & x \\ x & 1 & 0\end{array}\right|$ is equal to :
Official answer
2
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.