Solve for x in ln parenthesis x plus 14 paranthesis-lnx equals 3ln2?

Answer 1

ln(x+14)-lnx=3ln2

ln[(x+14)/x]=ln8

(x+14)/x=8

x+14=8x

14=7x

2=x

x=2

Check this answer by plugging x=2 back into the original equation:

ln(2+14)-ln(2)=3ln2

ln(16)-ln(2)=3ln2

ln(16/2)=3ln2

ln8=3ln2

3ln2=3ln2

There you go!