ln(m+3)-ln(2m-1)=ln4

Answer 1

ln(m+3)-ln(2m-1)= ln((m+3)/(2m-1))=ln4. Thus (m+3)/(2m-1)=4 and solving yields m=1.

Answer 2

ln((m + 3)/(2m - 1)) = ln4;

(m + 3)/(2m - 1) = 4; m + 3 = 8m - 4;

7m = 7; m = 1

Answer: m = 1