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Solving inequalities/ log(x+6)-ln(x)>1/3

log(x+6)-ln(x)>1/3 inequation

A inequation with variable

The solution

You have entered [src] 
log(x + 6) - log(x) > 1/3
−log⁡(x)+log⁡(x+6)>13- \log{\left(x \right)} + \log{\left(x + 6 \right)} > \frac{1}{3} 
-log(x) + log(x + 6) > 1/3
Solving inequality on a graph
0-30-20-10102030405060-1010
Rapid solution [src] 
   /               6    \
And|0 < x, x < ---------|
   |                 1/3|
   \           -1 + e   /
0<x∧x<6−1+e130 < x \wedge x < \frac{6}{-1 + e^{\frac{1}{3}}} 
(0 < x)∧(x < 6/(-1 + exp(1/3)))
Rapid solution 2 [src] 
      -6     
(0, --------)
         1/3 
    1 - e
x in (0,−61−e13)x\ in\ \left(0, - \frac{6}{1 - e^{\frac{1}{3}}}\right) 
x in Interval.open(0, -6/(1 - exp(1/3)))
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