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Simplificación de expresiones/
Descomposición en fracciones simples/
log((9+4*sqrt(2))/(7))/(sqrt(2))
¿Cómo vas a descomponer esta log((9+4*sqrt(2))/(7))/(sqrt(2)) expresión en fracciones?
Solución
Ha introducido
[src]
/ ___\
|9 + 4*\/ 2 |
log|-----------|
\ 7 /
----------------
___
\/ 2
$$\frac{\log{\left(\frac{4 \sqrt{2} + 9}{7} \right)}}{\sqrt{2}}$$
log((9 + 4*sqrt(2))/7)/sqrt(2)
Simplificación general
[src]
/ ___\ | \/ 2 | | -----| | 2 | |/ ___\ | ||9 4*\/ 2 | | log||- + -------| | \\7 7 / /
$$\log{\left(\left(\frac{4 \sqrt{2}}{7} + \frac{9}{7}\right)^{\frac{\sqrt{2}}{2}} \right)}$$
log((9/7 + 4*sqrt(2)/7)^(sqrt(2)/2))
Combinatoria
[src]
/ ___\
___ |9 4*\/ 2 |
\/ 2 *log|- + -------|
\7 7 /
----------------------
2
$$\frac{\sqrt{2} \log{\left(\frac{4 \sqrt{2}}{7} + \frac{9}{7} \right)}}{2}$$
sqrt(2)*log(9/7 + 4*sqrt(2)/7)/2
Unión de expresiones racionales
[src]
/ ___\
___ |9 4*\/ 2 |
\/ 2 *log|- + -------|
\7 7 /
----------------------
2
$$\frac{\sqrt{2} \log{\left(\frac{4 \sqrt{2}}{7} + \frac{9}{7} \right)}}{2}$$
sqrt(2)*log(9/7 + 4*sqrt(2)/7)/2
Denominador racional
[src]
/ ___\
___ |9 + 4*\/ 2 |
\/ 2 *log|-----------|
\ 7 /
----------------------
2
$$\frac{\sqrt{2} \log{\left(\frac{4 \sqrt{2} + 9}{7} \right)}}{2}$$
sqrt(2)*log((9 + 4*sqrt(2))/7)/2
Denominador común
[src]
___ / ___\ ___
\/ 2 *log\9 + 4*\/ 2 / \/ 2 *log(7)
---------------------- - ------------
2 2
$$- \frac{\sqrt{2} \log{\left(7 \right)}}{2} + \frac{\sqrt{2} \log{\left(4 \sqrt{2} + 9 \right)}}{2}$$
sqrt(2)*log(9 + 4*sqrt(2))/2 - sqrt(2)*log(7)/2
Potencias
[src]
/ ___\
___ |9 4*\/ 2 |
\/ 2 *log|- + -------|
\7 7 /
----------------------
2
$$\frac{\sqrt{2} \log{\left(\frac{4 \sqrt{2}}{7} + \frac{9}{7} \right)}}{2}$$
sqrt(2)*log(9/7 + 4*sqrt(2)/7)/2
Parte trigonométrica
[src]
/ ___\
___ |9 4*\/ 2 |
\/ 2 *log|- + -------|
\7 7 /
----------------------
2
$$\frac{\sqrt{2} \log{\left(\frac{4 \sqrt{2}}{7} + \frac{9}{7} \right)}}{2}$$
sqrt(2)*log(9/7 + 4*sqrt(2)/7)/2