log(0,5)2x−6

+ inequation

Solve the inequality!

A inequation with variable

The solution

You have entered [src]

log(1/2)*2*x - 6 < log(1/2)*x

$$x 2 \log{\left(\frac{1}{2} \right)} - 6 < x \log{\left(\frac{1}{2} \right)}$$

x*(2*log(1/2)) - 6 < x*log(1/2)

Solving inequality on a graph

Rapid solution 2 [src]

  -6        
(------, oo)
 log(2)     

$$x\ in\ \left(- \frac{6}{\log{\left(2 \right)}}, \infty\right)$$

x in Interval.open(-6/log(2), oo)

Rapid solution [src]

   /         -6       \
And|x < oo, ------ < x|
   \        log(2)    /

$$x < \infty \wedge - \frac{6}{\log{\left(2 \right)}} < x$$

(x < oo)∧(-6/log(2) < x)