4^(x+5)=16^(1-2x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
3 log(8) pi*I log(8) 2*pi*I log(8) 4*pi*I log(8) pi*I log(8) 2*pi*I log(8) 4*pi*I 3 3*pi*I 3 3*pi*I 3 pi*I
- - + - -------- + -------- + - -------- + -------- + - -------- + -------- + - -------- - -------- + - -------- - -------- + - -------- - -------- + - - - -------- + - - + -------- + - - + ------
5 5*log(2) 5*log(2) 5*log(2) 5*log(2) 5*log(2) 5*log(2) 5*log(2) 5*log(2) 5*log(2) 5*log(2) 5*log(2) 5*log(2) 5 5*log(2) 5 5*log(2) 5 log(2)
(((−53−5log(2)3iπ)+((−5log(2)log(8)−5log(2)4iπ)+((−5log(2)log(8)−5log(2)2iπ)+((−5log(2)log(8)−5log(2)iπ)+(((−53+(−5log(2)log(8)+5log(2)iπ))+(−5log(2)log(8)+5log(2)2iπ))+(−5log(2)log(8)+5log(2)4iπ))))))+(−53+5log(2)3iπ))+(−53+log(2)iπ)
12 6*log(8) pi*I
- -- - -------- + ------
5 5*log(2) log(2)
−5log(2)6log(8)−512+log(2)iπ
/ log(8) pi*I \
-3*|- -------- + --------|
\ 5*log(2) 5*log(2)/ / log(8) 2*pi*I \ / log(8) 4*pi*I \ / log(8) pi*I \ / log(8) 2*pi*I \ / log(8) 4*pi*I \ / 3 3*pi*I \ / 3 3*pi*I \ / 3 pi*I \
--------------------------*|- -------- + --------|*|- -------- + --------|*|- -------- - --------|*|- -------- - --------|*|- -------- - --------|*|- - - --------|*|- - + --------|*|- - + ------|
5 \ 5*log(2) 5*log(2)/ \ 5*log(2) 5*log(2)/ \ 5*log(2) 5*log(2)/ \ 5*log(2) 5*log(2)/ \ 5*log(2) 5*log(2)/ \ 5 5*log(2)/ \ 5 5*log(2)/ \ 5 log(2)/
−53(−5log(2)log(8)+5log(2)iπ)(−5log(2)log(8)+5log(2)2iπ)(−5log(2)log(8)+5log(2)4iπ)(−5log(2)log(8)−5log(2)iπ)(−5log(2)log(8)−5log(2)2iπ)(−5log(2)log(8)−5log(2)4iπ)(−53−5log(2)3iπ)(−53+5log(2)3iπ)(−53+log(2)iπ)
27*(pi*I + log(2))*(pi*I + log(8))*(-pi*I + log(2))*(-pi*I + log(8))*(-5*pi*I + log(8))*(-4*pi*I + log(8))*(-2*pi*I + log(8))*(2*pi*I + log(8))*(4*pi*I + log(8))
-----------------------------------------------------------------------------------------------------------------------------------------------------------------
9
9765625*log (2)
9765625log(2)927(log(2)−iπ)(log(2)+iπ)(log(8)−5iπ)(log(8)−4iπ)(log(8)−2iπ)(log(8)−iπ)(log(8)+iπ)(log(8)+2iπ)(log(8)+4iπ)
27*(pi*i + log(2))*(pi*i + log(8))*(-pi*i + log(2))*(-pi*i + log(8))*(-5*pi*i + log(8))*(-4*pi*i + log(8))*(-2*pi*i + log(8))*(2*pi*i + log(8))*(4*pi*i + log(8))/(9765625*log(2)^9)
x1=−53
log(8) pi*I
x2 = - -------- + --------
5*log(2) 5*log(2)
x2=−5log(2)log(8)+5log(2)iπ
log(8) 2*pi*I
x3 = - -------- + --------
5*log(2) 5*log(2)
x3=−5log(2)log(8)+5log(2)2iπ
log(8) 4*pi*I
x4 = - -------- + --------
5*log(2) 5*log(2)
x4=−5log(2)log(8)+5log(2)4iπ
log(8) pi*I
x5 = - -------- - --------
5*log(2) 5*log(2)
x5=−5log(2)log(8)−5log(2)iπ
log(8) 2*pi*I
x6 = - -------- - --------
5*log(2) 5*log(2)
x6=−5log(2)log(8)−5log(2)2iπ
log(8) 4*pi*I
x7 = - -------- - --------
5*log(2) 5*log(2)
x7=−5log(2)log(8)−5log(2)4iπ
3 3*pi*I
x8 = - - - --------
5 5*log(2)
x8=−53−5log(2)3iπ
3 3*pi*I
x9 = - - + --------
5 5*log(2)
x9=−53+5log(2)3iπ
3 pi*I
x10 = - - + ------
5 log(2)
x10=−53+log(2)iπ
x2 = -0.6 + 0.906472028365439*i
x3 = -0.6 + 1.81294405673088*i
x4 = -0.6 + 3.62588811346175*i
x5 = -0.6 - 0.906472028365439*i
x6 = -0.6 - 1.81294405673088*i
x7 = -0.6 - 3.62588811346175*i
x8 = -0.6 - 2.71941608509632*i
x9 = -0.6 + 2.71941608509632*i
x10 = -0.6 + 4.53236014182719*i
x10 = -0.6 + 4.53236014182719*i