Sr Examen
¿Cómo vas a descomponer esta log(x-5)^2/((log(x+6)/log(2))) expresión en fracciones?
Solución
Ha introducido
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2 log (x - 5) ------------ /log(x + 6)\ |----------| \ log(2) /
$$\frac{\log{\left(x - 5 \right)}^{2}}{\frac{1}{\log{\left(2 \right)}} \log{\left(x + 6 \right)}}$$
log(x - 5)^2/((log(x + 6)/log(2)))
Simplificación general
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2
log (-5 + x)*log(2)
-------------------
log(6 + x)
$$\frac{\log{\left(2 \right)} \log{\left(x - 5 \right)}^{2}}{\log{\left(x + 6 \right)}}$$
log(-5 + x)^2*log(2)/log(6 + x)
Denominador racional
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2
log (-5 + x)*log(2)
-------------------
log(6 + x)
$$\frac{\log{\left(2 \right)} \log{\left(x - 5 \right)}^{2}}{\log{\left(x + 6 \right)}}$$
log(-5 + x)^2*log(2)/log(6 + x)
Respuesta numérica
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0.693147180559945*log(x - 5)^2/log(x + 6)
0.693147180559945*log(x - 5)^2/log(x + 6)
Unión de expresiones racionales
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2
log (-5 + x)*log(2)
-------------------
log(6 + x)
$$\frac{\log{\left(2 \right)} \log{\left(x - 5 \right)}^{2}}{\log{\left(x + 6 \right)}}$$
log(-5 + x)^2*log(2)/log(6 + x)
Potencias
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2
log (-5 + x)*log(2)
-------------------
log(6 + x)
$$\frac{\log{\left(2 \right)} \log{\left(x - 5 \right)}^{2}}{\log{\left(x + 6 \right)}}$$
log(-5 + x)^2*log(2)/log(6 + x)
Denominador común
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2
log (-5 + x)*log(2)
-------------------
log(6 + x)
$$\frac{\log{\left(2 \right)} \log{\left(x - 5 \right)}^{2}}{\log{\left(x + 6 \right)}}$$
log(-5 + x)^2*log(2)/log(6 + x)
Parte trigonométrica
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2
log (-5 + x)*log(2)
-------------------
log(6 + x)
$$\frac{\log{\left(2 \right)} \log{\left(x - 5 \right)}^{2}}{\log{\left(x + 6 \right)}}$$
log(-5 + x)^2*log(2)/log(6 + x)
Combinatoria
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2
log (-5 + x)*log(2)
-------------------
log(6 + x)
$$\frac{\log{\left(2 \right)} \log{\left(x - 5 \right)}^{2}}{\log{\left(x + 6 \right)}}$$
log(-5 + x)^2*log(2)/log(6 + x)
Compilar la expresión
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2
log (x - 5)*log(2)
------------------
log(x + 6)
$$\frac{\log{\left(2 \right)} \log{\left(x - 5 \right)}^{2}}{\log{\left(x + 6 \right)}}$$
log(x - 5)^2*log(2)/log(x + 6)