# If log 2, <span l

Here, log 2, log(2x-1) and log(2x+3) are in A.P.

So, log(2x-1)-log2=log(2x+3)-log(2x-1)

Let 2x=y

Then above equation is written as

(y-1)2=2(y+3)

y2-2y+1=2y+6

y2-4y-5=0

(y-5)(y+1)=0

y=5 or y=-1

2x=5 or 2x=-1

x=log25 or 2x=-1 is not possible

x=log25

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

There are n A.M.sRD Sharma - Mathematics

If x, y, z are inRD Sharma - Mathematics

Insert 7 A.M.s beRD Sharma - Mathematics

The 10th</suRD Sharma - Mathematics

Insert five numbeRD Sharma - Mathematics

The 4th</supRD Sharma - Mathematics

Insert 4 A.M.s beRD Sharma - Mathematics

An A.P. consists RD Sharma - Mathematics

How many terms arRS Aggarwal - Mathematics

In a cricket tourMathematics - Exemplar