SOLUTION: I need major help on logarithms. if i have: ln(x-2)+ ln(2x-3)= 2lnx i know that im supposed to have ln((x-2)(2x-3))=lnx^2 which would eliminate the ln but what do i

Question 209708: I need major help on logarithms.
if i have:
ln(x-2)+ ln(2x-3)= 2lnx
i know that im supposed to
have
ln((x-2)(2x-3))=lnx^2
which would eliminate the ln
but what do i do afterwards?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
ln(x-2)+ ln(2x-3)= 2lnx
ln((x-2)(2x-3))=lnx^2
(x-2)(2x-3) = x^2
2x^2 - 7x + 6 = x^2
x^2 - 7x + 6 = 0
(x-1)*(x-6) = 0
x = 1 This won't work as ln(1-2) is not allowed.
x = 6

RELATED QUESTIONS
ok. i have this problem ln(x-2) + ln(2x-3) = 2lnx please help me i have no... (answered by nerdybill)

I need help Soloving this equation! Not sure How to really Start the problem,... (answered by stanbon)

ln(2x+1) + ln(x-3)- 2 lnx =... (answered by stanbon)

lnx=ln(2x-1)-ln(x-2) (answered by user_dude2008,nerdybill)

Write the logarithmic expression as a sum or difference of logarithms. ln [(2x sqrt... (answered by ikleyn)

I need to solve ln(x)=... (answered by rapaljer)

Two ln problems I need help with. ln 3 - (ln x + ln 6) = ln x - ln 8 ln 3 + ln 2x = (answered by stanbon)

I can not figure out the last steps on how the answer is attain Please help show each... (answered by mukhopadhyay)

"Rewrite the expression 3 ln(4) - 2 ( ln(10) - ln(2) ) in the form ln(x), a single... (answered by jim_thompson5910)