3+6+9+…+3y2+4+6+…+2y=log10x4
3(1+2+3+−−−−y)2(1+2+3+−−−−y)=log10x4
log10x=6
x=106
Now
y=log10x+log10x31+log10x91−−−∞
=(1+31+91−−−∞)log10x
=[1−311]log10x=9
So, (x,y)=(106,9)
If for x,y∈R,x>0, y=log10x+log10x1/3+log10x1/9+…upto ∞ terms and 3+6+9+…+3y2+4+6+…+2y=log10x4, then the ordered pair (x,y) is equal to
Held on 27 Aug 2021 · Verified 6 Jul 2026.
(106,6)
(106,9)
(102,3)
(104,6)
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