Question 686655
<pre>
log(x-44)-log7=log(x-14)-logx solve.

also this question logx+log(x-3)=1
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This respondent, @MathLover1(20855) did the same thing that @HyperBrain(694) did  for Problem, logarithm/105757. She used the QUADRATIC
EQUATION formula to solve both quadratic equations, which is UNNECESSARY, since the resultant TRINOMIAL is FACTORABLE! Furthermore, the
problem, log(x - 44) - log 7 = log (x - 14) - log (x), has x - 44 as its SMALLEST log variable-argument. This MUST BE > 0, which means that x > 44. 

So, the equation, log(x - 44) - log 7 = log (x - 14) - log (x), will have the following criteria, x > 44.

She got 2 values for x: x = 49, and x = 2. Obviously, 2 is NOT > 44, so x = 2 is an EXTRANEOUS solution, which makes x = 49, VALID/ACCEPTABLE,
and the SOLE SOLUTION.</font></font></font></b></pre>