Mister Exam

(log2(x-5)/((1-2)log2(x)))>2log2(x) inequation

A inequation with variable

The solution

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/log(x - 5)\           
|----------|           
\  log(2)  /     log(x)
------------ > 2*------
    log(x)       log(2)
  - ------             
    log(2)             
$$\frac{\frac{1}{\log{\left(2 \right)}} \log{\left(x - 5 \right)}}{\left(-1\right) \frac{\log{\left(x \right)}}{\log{\left(2 \right)}}} > 2 \frac{\log{\left(x \right)}}{\log{\left(2 \right)}}$$
(log(x - 5)/log(2))/((-log(x)/log(2))) > 2*(log(x)/log(2))