x = approximately 633
Steps:
lnx + ln3x = 14
ln3x^2 = 14 : Use the log property of addition which is to multiply same log together so you multiply x and 3x because they have log in common
(ln3x^2) = (14) : take base of e on both sides to get rid of the log
e e
3x^2 = e^14 : e cancels out log on the left side and the right side is e^14
x^2 = e^14 / 3 : divide both sides by 3
√x^2 = √(e^14 / 3) : take square root on both sides to get rid of the square 2 on x
x = √(e^14) / √3 : square root cancels out square 2 leaving x by itself
x = e^7 / √3 : simplify the √(e^14) so 14 (e^14) divide by 2 (square root) = 7
x = 633.141449221 : solve