Home
Class 12
MATHS
If (1 + 3 + 5 + .... " upto n terms ")/(...

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

A

`10^(3)`

B

`10^(5)`

C

`10^(6)`

D

`10^(7)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|10 Videos

  • LOGARITHMS

    MTG-WBJEE|Exercise WB JEE / WORKOUT (CATEGORY 2 : SINGLE OPTION CORRECT TYPE )|15 Videos

  • LIMITS AND CONTINUITY

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|2 Videos

  • MATRICES AND DETERMINANTS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE )|3 Videos

Similar Questions

Explore conceptually related problems

log_(10)x-(1)/(2)log_(10)(x-(1)/(2))=log_(10)(x+(1)/(2))-(1)/(2)log_(10)(x+(1)/(8))

log_(10)^(2) x + log_(10) x^(2) = log_(10)^(2) 2 - 1

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

Find log_(10)1((1)/(2))+log_(10)1((1)/(3))+log_(10)1((1)/(4))+ upto 198 terms

x^((log_(10)x+7)/(4))=10^(log_(10)x+1)

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

(log_(10)x)^(2)+log_(10)x^(2)=(log_(10)2)^(2)-1

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

If log_(10) 2, log_(10)(2^(x) -1) , log_(10)(2^(x)+3) are in AP, then what is x equal to?