How do you solve ln x - ln (x-3) = ln 5?lnxln(x3)=ln5??

1 Answer
Jul 8, 2015

use of logarithm property and then antilog

Explanation:

remember

lna-lnb=ln(a/b)lnalnb=ln(ab)

so applying it here we see that

lnx-ln(x-3)=ln5lnxln(x3)=ln5 can be rewritten as

ln(x/(x-3))=ln5ln(xx3)=ln5

now taking antilog on both sides we get

antiln(ln(x/(x-3)))=antiln(ln5)antiln(ln(xx3))=antiln(ln5)

x/(x-3)=5xx3=5

solving the equation reveals

x=15/4x=154

please feel free to comment if you find any mistake
Cheerio!