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Resolver desigualdades/ 0,3^(-4x+3)>0,5^(-6x-1)

0,3^(-4x+3)>0,5^(-6x-1) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src] 
    -4*x + 3    1 + 6*x
3/10         > 2
(310)3−4x>(12)−6x−1\left(\frac{3}{10}\right)^{3 - 4 x} > \left(\frac{1}{2}\right)^{- 6 x - 1} 
(3/10)^(3 - 4*x) > (1/2)^(-6*x - 1)
Solución de la desigualdad en el gráfico
02468-12-10-8-6-4-2100500000000000000000000
Respuesta rápida [src] 
   /           -3*log(3) + 3*log(10) + log(2)       \
And|x < oo, ------------------------------------ < x|
   \        2*(-3*log(2) - 2*log(3) + 2*log(10))    /
x<∞∧−3log⁡(3)+log⁡(2)+3log⁡(10)2(−2log⁡(3)−3log⁡(2)+2log⁡(10))<xx < \infty \wedge \frac{- 3 \log{\left(3 \right)} + \log{\left(2 \right)} + 3 \log{\left(10 \right)}}{2 \left(- 2 \log{\left(3 \right)} - 3 \log{\left(2 \right)} + 2 \log{\left(10 \right)}\right)} < x 
(x < oo)∧((-3*log(3) + 3*log(10) + log(2))/(2*(-3*log(2) - 2*log(3) + 2*log(10))) < x)
Respuesta rápida 2 [src] 
  -(-3*log(3) + 3*log(10) + log(2))       
(------------------------------------, oo)
 2*(-2*log(10) + 2*log(3) + 3*log(2))
x in (−−3log⁡(3)+log⁡(2)+3log⁡(10)2(−2log⁡(10)+3log⁡(2)+2log⁡(3)),∞)x\ in\ \left(- \frac{- 3 \log{\left(3 \right)} + \log{\left(2 \right)} + 3 \log{\left(10 \right)}}{2 \left(- 2 \log{\left(10 \right)} + 3 \log{\left(2 \right)} + 2 \log{\left(3 \right)}\right)}, \infty\right) 
x in Interval.open(-(-3*log(3) + log(2) + 3*log(10))/(2*(-2*log(10) + 3*log(2) + 2*log(3))), oo)
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