Question

Help please asap algebra 2

Answer 1

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