The sum of all the values of a satisfying the equation `|[log_10 a,-1],[log_10(a-1),2]|=log_10 a+log_10 2`

The sum of all possible values of x satisfying the equation 6log_(x-1)10+log_(10)(x-1)=5

The value of x satisfying the equation 2log_(10)x - log_(10) (2x-75) = 2 is

The value of x satisfying the equation 2log_(10)x - log_(10) (2x-75) = 2 is

The value of x satisfying the equation x + log_(10) (1 + 2^x) = x log_10 5 + log_10 6 is

The value of x satisfying the inequation x^(1/(log10^x)).log_10xlt1 , is

The value of x and y satisfying the equations log_(100)abs(x+y)=1/2, log_10 y- log_10 absx=log_(100) 4 are

The number of real values of x satisfying the equation log_(10) sqrt(1+x)+3log_(10) sqrt(1-x)=2+log_(10) sqrt(1-x^(2)) is :

The number of real values of x satisfying the equation log_(10) sqrt(1+x)+3log_(10) sqrt(1-x)=2+log_(10) sqrt(1-x^(2)) is :

The value of x satisfying the equation 2^(log_2e^(In^5log 7^(log_10^(log_10(8x-3)))

The set of all real numbers satisfying the inequation x^((log_(10) x)^(2)-3(log10 x)+1) gt 1000 , is