16*0,25^(5-(x/4))=32*x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
$$x_{1} = 32$$
/-log(2) \
-2*W|--------|
\ 4096 /
x2 = --------------
log(2)
$$x_{2} = - \frac{2 W\left(- \frac{\log{\left(2 \right)}}{4096}\right)}{\log{\left(2 \right)}}$$
x2 = -2*LambertW(-log(2)/4096)/log(2)
Suma y producto de raíces
[src]
/-log(2) \
2*W|--------|
\ 4096 /
32 - -------------
log(2)
$$- \frac{2 W\left(- \frac{\log{\left(2 \right)}}{4096}\right)}{\log{\left(2 \right)}} + 32$$
/-log(2) \
2*W|--------|
\ 4096 /
32 - -------------
log(2)
$$- \frac{2 W\left(- \frac{\log{\left(2 \right)}}{4096}\right)}{\log{\left(2 \right)}} + 32$$
/-log(2) \
-2*W|--------|
\ 4096 /
32*--------------
log(2)
$$32 \left(- \frac{2 W\left(- \frac{\log{\left(2 \right)}}{4096}\right)}{\log{\left(2 \right)}}\right)$$
/-log(2) \
-64*W|--------|
\ 4096 /
---------------
log(2)
$$- \frac{64 W\left(- \frac{\log{\left(2 \right)}}{4096}\right)}{\log{\left(2 \right)}}$$
-64*LambertW(-log(2)/4096)/log(2)
x2 = 0.000488363900563795
x2 = 0.000488363900563795