if `(1+3+5-...upto n terms)/(4+7+10+...upto n terms)=20/(7log_10 X` and `n = log_10 x + log_10 X^1/2 + log_10 X^1/4 + ............ + oo` , then `x` is equal to

If (1 + 3 + 5 + .... " upto n terms ")/(4 + 7 + 10 + ... " upto n terms") = (20)/(7 " log"_(10)x) and n = log_(10)x + log_(10) x^((1)/(2)) + log_(10) x^((1)/(4)) + log_(10) x^((1)/(8)) + ... + oo , then x is equal to

if x+log_10 (1+2^x)=xlog_10 5+log_10 6 then x

[log_10⁡(x)]^2 − log_10⁡(x^3) + 2=0

Solve the equations log_1000 |x+y| = 1/2 . log_10 y - log_10 |x| = log_100 4 for x and y

Given 2 log_(10) x + 1 = log_(10) 250 , find : (i) x (ii) log_(10) 2x

Find x, if : (i) log_(10) (x + 5) = 1 (ii) log_(10) (x + 1) + log_(10) (x - 1) = log_(10) 11 + 2 log_(10) 3

If 5^(3x^(2)"log"_(10)2) = 2^((x + (1)/(2))"log"_(10) 25) , then x equals to

Find domain of the function log_10 log_10 log_10 log_10 log_10 x

Find the domain of the function f(x)=log_10((log_10 x^2)-5log_10 x+6)

If in an AP, t_1 = log_10 a, t_(n+1) = log_10 b and t_(2n+1) = log_10 c then a, b, c are in