JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 17 March 2021, Shift 2, Maths Q83

Question 83 of 90 in this shift, Maths question 23 of 30, Section B.

If 1,

\log_{10}(4^x-2)

and

\log_{10}\left(4^x+\frac{18}{5}\right)

are in arithmetic progression for a real number

x

, then the value of the determinant

\begin{vmatrix}2\left(x-\frac{1}{2}\right) & x-1 & x^2\\ 1 & 0 & x\\ x & 1 & 0\end{vmatrix}

is equal to :

Official answer

NTA final key.