Sr Examen

Otras calculadoras

ln(1108,9/648,3)=ln((90/40)^a*(210/110)^(1-a)) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                  /         1 - a\
   / 11089 \      |   a /21\     |
log|-------| = log|9/4 *|--|     |
   |   6483|      \     \11/     /
   |10*----|                      
   \    10 /                      
$$\log{\left(\frac{11089}{10 \frac{6483}{10}} \right)} = \log{\left(\left(\frac{21}{11}\right)^{1 - a} \left(\frac{9}{4}\right)^{a} \right)}$$
Gráfica
Respuesta rápida [src]
        /           1   \
        |        -------|
        |           /33\|
        |        log|--||
        |           \28/|
        |/121979\       |
a1 = log||------|       |
        \\136143/       /
$$a_{1} = \log{\left(\left(\frac{121979}{136143}\right)^{\frac{1}{\log{\left(\frac{33}{28} \right)}}} \right)}$$
         /           1   \
         |        -------|
         |           /28\|
         |        log|--||
         |           \33/|
         |/121979\       |
a2 = -log||------|       |
         \\136143/       /
$$a_{2} = - \log{\left(\left(\frac{121979}{136143}\right)^{\frac{1}{\log{\left(\frac{28}{33} \right)}}} \right)}$$
a2 = -log((121979/136143)^(1/log(28/33)))
Suma y producto de raíces [src]
suma
   /           1   \      /           1   \
   |        -------|      |        -------|
   |           /33\|      |           /28\|
   |        log|--||      |        log|--||
   |           \28/|      |           \33/|
   |/121979\       |      |/121979\       |
log||------|       | - log||------|       |
   \\136143/       /      \\136143/       /
$$\log{\left(\left(\frac{121979}{136143}\right)^{\frac{1}{\log{\left(\frac{33}{28} \right)}}} \right)} - \log{\left(\left(\frac{121979}{136143}\right)^{\frac{1}{\log{\left(\frac{28}{33} \right)}}} \right)}$$
=
     /           1   \      /           1   \
     |        -------|      |        -------|
     |           /28\|      |           /33\|
     |        log|--||      |        log|--||
     |           \33/|      |           \28/|
     |/121979\       |      |/121979\       |
- log||------|       | + log||------|       |
     \\136143/       /      \\136143/       /
$$- \log{\left(\left(\frac{121979}{136143}\right)^{\frac{1}{\log{\left(\frac{28}{33} \right)}}} \right)} + \log{\left(\left(\frac{121979}{136143}\right)^{\frac{1}{\log{\left(\frac{33}{28} \right)}}} \right)}$$
producto
   /           1   \ /    /           1   \\
   |        -------| |    |        -------||
   |           /33\| |    |           /28\||
   |        log|--|| |    |        log|--|||
   |           \28/| |    |           \33/||
   |/121979\       | |    |/121979\       ||
log||------|       |*|-log||------|       ||
   \\136143/       / \    \\136143/       //
$$- \log{\left(\left(\frac{121979}{136143}\right)^{\frac{1}{\log{\left(\frac{28}{33} \right)}}} \right)} \log{\left(\left(\frac{121979}{136143}\right)^{\frac{1}{\log{\left(\frac{33}{28} \right)}}} \right)}$$
=
   2              2              /      log(14878876441)\
log (121979) + log (136143) - log\136143                /
---------------------------------------------------------
             2          2          /  log(784)\          
          log (28) + log (33) - log\33        /          
$$\frac{- \log{\left(136143^{\log{\left(14878876441 \right)}} \right)} + \log{\left(121979 \right)}^{2} + \log{\left(136143 \right)}^{2}}{- \log{\left(33^{\log{\left(784 \right)}} \right)} + \log{\left(28 \right)}^{2} + \log{\left(33 \right)}^{2}}$$
(log(121979)^2 + log(136143)^2 - log(136143^log(14878876441)))/(log(28)^2 + log(33)^2 - log(33^log(784)))
Respuesta numérica [src]
a1 = -0.668623645656331
a1 = -0.668623645656331