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Resolver desigualdades/ log7(x^2-6*x+9)*1/log(7)<=log(2*x-3+7*1/(x-6))*1/log(7)+log((2*x^2-15*x+25)*1/(x-6))*1/log(7)

log7(x^2-6*x+9)*1/log(7)<=log(2*x-3+7*1/(x-6))*1/log(7)+log((2*x^2-15*x+25)*1/(x-6))*1/log(7) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src] 
/   / 2          \\                              /   2            \
|log\x  - 6*x + 9/|       /            7  \      |2*x  - 15*x + 25|
|-----------------|    log|2*x - 3 + -----|   log|----------------|
\      log(7)     /       \          x - 6/      \     x - 6      /
------------------- <= -------------------- + ---------------------
       log(7)                 log(7)                  log(7)
$$\frac{\frac{1}{\log{\left(7 \right)}} \log{\left(\left(x^{2} - 6 x\right) + 9 \right)}}{\log{\left(7 \right)}} \leq \frac{\log{\left(\frac{\left(2 x^{2} - 15 x\right) + 25}{x - 6} \right)}}{\log{\left(7 \right)}} + \frac{\log{\left(\left(2 x - 3\right) + \frac{7}{x - 6} \right)}}{\log{\left(7 \right)}}$$ 
(log(x^2 - 6*x + 9)/log(7))/log(7) <= log((2*x^2 - 15*x + 25)/(x - 6))/log(7) + log(2*x - 3 + 7/(x - 6))/log(7)
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