If `(1+3+5+....+n terms)/(4+7+10+....nterms)=20/(7log_(10)x)` and `n=log_(10)x+log_(10)x^(1/2)+........oo` then x is equal to

if (1+3+5-...up rarr nterms)/(4+7+10+...up rarr nterms)=(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 (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 (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 x+log_(10)(1+2^(x))=xlog_(10)5+log_(10)6 then x is equal to

If log_(10)5+log_(10)(5x+1)=log_(10)(x+5)+1, then x is equal to

3(log_(7)x+log_(x)7)=10

log_(10){log10x}=1 then x

If y=log_(10)x+log_(x)10+log_(x)x+log_(10)10 , then ((dy)/(dx))_(x=10) is equal to