SOLUTION: Solve the following equations: {{{ ln(x+4)=ln(x-8)-ln(x+1) }}} {{{ log6 (2-x) + log6 (11-x) = 2 }}}

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Question 1001259: Solve the following equations:


Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


........if log same, we have
.......solve for



....use quadratic formula







solutions:

or




....change the base




.....if log same, we have
....solve for







solutions:
if =>-> disregard it it will make log of negative number which is undefined
if =>


Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Solve the following equations:

-----------------------------------

= - ----->

=       ----->

(x+4)*(x+1) = x-8,

= ,

= .

Discriminant  d = 4^2 - 4*1*12 = 16 - 48 = -44  is negative     ----->   no real solutions.

Answer.  There is no real solutions.


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