SOLVE FOR X:

log(base x)(2x - 1) > 1

Dear Pooja

for log to be defined base=x>0, 2x-1>0 -> x>1/2

if 1/2 < x <1

log_x(2x-1)>1

2x-1<x¹

x<1

if x>1

2x-1>x¹

x>1

hence x is (1/2 , 1) U (1, ∞) answer

All the best.

AKASH GOYAL

AskiitiansExpert-IITD

Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..

it means xto the power should be less than 2x-1

hence

x < 2x-1

-x<-1

or x>1