Question 428502
I probably can solve this without log.  let us try.

(sqrt(3)^x+1=9^5x-1

3^(x+1)/2=3^2(5x-1)

or
(x+1)/2=2(5x-1)

x+1=4(5x-1)=20x-4
19x=5
x=5/19  ANS

I hope this is correct.