Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sqrt(log((x-1)/(x+5)))/sqrt(-log(10)+log(31))
¿Cómo vas a descomponer esta sqrt(log((x-1)/(x+5)))/sqrt(-log(10)+log(31)) expresión en fracciones?
Solución
Ha introducido
[src]
____________
/ /x - 1\
/ log|-----|
\/ \x + 5/
----------------------
____________________
\/ -log(10) + log(31)
$$\frac{\sqrt{\log{\left(\frac{x - 1}{x + 5} \right)}}}{\sqrt{- \log{\left(10 \right)} + \log{\left(31 \right)}}}$$
sqrt(log((x - 1)/(x + 5)))/sqrt(-log(10) + log(31))
Simplificación general
[src]
_____________
/ /-1 + x\
/ log|------|
\/ \5 + x /
-----------------
_________
/ /31\
/ log|--|
\/ \10/
$$\frac{\sqrt{\log{\left(\frac{x - 1}{x + 5} \right)}}}{\sqrt{\log{\left(\frac{31}{10} \right)}}}$$
sqrt(log((-1 + x)/(5 + x)))/sqrt(log(31/10))
Respuesta numérica
[src]
0.940137784603288*log((x - 1)/(x + 5))^0.5
0.940137784603288*log((x - 1)/(x + 5))^0.5
Denominador común
[src]
______________________
/ / 1 x \
/ log|- ----- + -----|
\/ \ 5 + x 5 + x/
--------------------------
____________________
\/ -log(10) + log(31)
$$\frac{\sqrt{\log{\left(\frac{x}{x + 5} - \frac{1}{x + 5} \right)}}}{\sqrt{- \log{\left(10 \right)} + \log{\left(31 \right)}}}$$
sqrt(log(-1/(5 + x) + x/(5 + x)))/sqrt(-log(10) + log(31))
Combinatoria
[src]
______________________
/ / 1 x \
/ log|- ----- + -----|
\/ \ 5 + x 5 + x/
--------------------------
____________________
\/ -log(10) + log(31)
$$\frac{\sqrt{\log{\left(\frac{x}{x + 5} - \frac{1}{x + 5} \right)}}}{\sqrt{- \log{\left(10 \right)} + \log{\left(31 \right)}}}$$
sqrt(log(-1/(5 + x) + x/(5 + x)))/sqrt(-log(10) + log(31))
Denominador racional
[src]
_____________
____________________ / /-1 + x\
-\/ -log(10) + log(31) * / log|------|
\/ \x + 5 /
------------------------------------------
-log(31) + log(10)
$$- \frac{\sqrt{- \log{\left(10 \right)} + \log{\left(31 \right)}} \sqrt{\log{\left(\frac{x - 1}{x + 5} \right)}}}{- \log{\left(31 \right)} + \log{\left(10 \right)}}$$
-sqrt(-log(10) + log(31))*sqrt(log((-1 + x)/(x + 5)))/(-log(31) + log(10))