Question

Given ln(x−5)+ln(x−6)=1, Solve for x

Answer 1

quotient rule\[\large\rm ln y - ln x = \ln \frac{ x }{ y}\]
subtraction to division
product rule \[\large \rm ln x + \ln y = \ln ( x \times y )\]
addition ----> multiplication

power rule \[\large\rm ln x^y = y \ln x\]

Answer 2

which one you should apply ?

Answer 3

Well, what I have so far is:

ln(x-5)(x-6) = ln e

(x-5)(x-6) = e^1

x^2-11x+30 = e^1

then i'm stuck

Answer 4

http://prntscr.com/76vd3o how did you get ln at right side ?

Answer 5

I just replaced 1 with ln e thinking that it might be easier that way
since ln e = 1
but yeah still stuck