How do you solve \ln 2+ \ln ( x - 10) = 2?

1 Answer
Jan 25, 2018

Solution: x ~~13.6945

Explanation:

ln 2 +ln(x-10) =2 or ln 2(x-10) =2 or 2(x-10)=e^2

[ ln(mn)= ln m +ln n ; and ln N=x if e^x= N ]

2(x-10)=e^2 or x-10=e^2/2 or

x= e^2/2+10~~13.6945 (4dp)

Solution: x ~~13.6945 [Ans]