`(7^(2x+3)+7^(2x+1))/(7^(2x+2)+7^(2x+1))`

If x,y,z in R , then the value of determinant |((5^(x)+5^(-x))^(2) , (5^(x)-5^(-x))^(2),1),((6^(x)+6^(-x))^(2),(6^(x)-6^(-x))^(2), 1),((7^(x)+7^(-x))^(2),(7^(x)-7^(-x))^(2),1)| is

Solve :((2x+3)!(x-1)!)/((x+1)!(2x+1)!)=7

.Number of solutions of equation 2^x + 2^(x-1) + 2^(x-2) = 7^x + 7^(x -1) + 7^(x-2) is

Simplify: ((sqrt(2))/(5))^(8)-:((sqrt(2))/(5))^(13) (ii) ((5^(-1)x7^(2))/(5^(2)x7^(-7)))^((1)/(2))x((5^(-2)x7^(3))/(5^(3)x7^(-5)))^(-(5)/(2))

3(x+2)-2(x-1)=7

7^(x+2)-(1)/(7)*7^(x+1)-14*7^(x-1)+2*7^(x)=48

The Number of real roots of equation 2^x + 2^(x-1)+2^(x-2) =7^x + 7^(x-1)+7^(x-2) is

Number of solutions of equation 2^(x)+2^(x-1)+2^(x-2)=7^(x)+7^(x-1)+7^(x-2) is

Solve : 2^x + 2^(x-1) + 2^(x-2) = 7^x + 7^(x-1) + 7^(x-2)

Factorise : x^(2) + (1)/(4x^(2)) + 1 - 7x - (7)/(2x)