Nueva ecuación

La  \; ecuación  \; no \;  tiene \; ninguna \;  solución

1

1

2

2

3

3

Ecuación

Igualar las bases

Igualar los exponentes

Despejar x

Solución

Ecuación

Ecuación

Despejar x

Solución

Aplica logaritmos

Aislar el paréntesis

Descomponer las potencias

Resolver la ecuación en t

Despejar x

Solución

Tres tipos de ecuaciones

lista5: {2, 3, 4}
i = Random(0, 1)
h = Random(-600, -100)
f = RandomElement(lista5)
lista6: {1, 2, 3}
g = RandomElement(lista5)
fg: f^(g)
lista1 = Sequence(k, k, 2, 10)
a = RandomElement(lista1)
b = RandomElement(lista1)
lista3 = Sequence(k, k, 7, 9)
d = RandomElement(lista3)
lista2 = Sequence(k, k, 2, 6)
c = RandomElement(lista2)
l0(x) = c^((a * x) + b)
texto2a: "" + (LaTeX[l0]) + "=" + (LaTeX[d]) + ""
l1(x) = lg(c)
l2(x) = lg(d)
texto2b: "\left(  " + (LaTeX[a]) + "x+" + (LaTeX[b]) + " \right) " + (LaTeX[l1]) + "=" + (LaTeX[l2]) + ""
texto2c: "" + (LaTeX[a]) + "x+" + (LaTeX[b]) + "=\frac{" + (LaTeX[l2]) + "}{" + (LaTeX[l1]) + "}"
s1: (lg(d) / lg(c) - b) / a
texto2d: "x=\frac{\frac{" + (LaTeX[l2]) + "}{" + (LaTeX[l1]) + "}-" + (LaTeX[b]) + "}{" + (LaTeX[a]) + "}=" + (LaTeX[s1]) + ""
texto2e: "x=" + (LaTeX[s1]) + ""
lista4: {2, 3, 5}
e = RandomElement(lista4)
m0(x) = e^((a * x) + b)
ef: e^(f)
texto1a: "" + (LaTeX[m0]) + "=" + (LaTeX[ef]) + ""
texto1b: "" + (LaTeX[m0]) + "=" + (LaTeX[e]) + "^{" + (LaTeX[f]) + "}"
texto1d: "x=\frac{" + (LaTeX[f]) + "-" + (LaTeX[b]) + "}{" + (LaTeX[a]) + "}"
texto1c: "" + (LaTeX[a]) + "x+" + (LaTeX[b]) + "=" + (LaTeX[f]) + ""
s2: (f - b) / a
texto1e: "x=" + (LaTeX[s2]) + ""
fc: f^(c)
fa: (f * a)
di: fc^(2) - ((4 * fg) * h)
s31: ((-fc) + sqrt(di)) / ((2 * fg))
s32: ((-fc) - sqrt(di)) / ((2 * fg))
texto3e: "" + (LaTeX[f]) + "^{x}=" + (LaTeX[s31]) + "   \;  \;  \;  \;  \;  \; " + (LaTeX[f]) + "^{x}= " + (LaTeX[s32]) + " \;  \;  \;  \;  \;  \; "
texto3a: "" + (LaTeX[f]) + "^{2x+" + (LaTeX[g]) + "}+" + (LaTeX[f]) + "^{x+" + (LaTeX[c]) + "}" + (LaTeX[h]) + "=0"
texto3c: "" + (LaTeX[fg]) + " \; t^{2}+" + (LaTeX[fc]) + "t" + (LaTeX[h]) + "=0"
l31(x) = lg(f)
l32(x) = lg(s31)
l33(x) = lg(s32)
s311: lg(s31) / lg(f)
s322: lg(s32) / lg(f)
texto3f1: "x=\frac{" + (LaTeX[l32]) + "}{" + (LaTeX[l31]) + "}=" + (LaTeX[s311]) + ""
texto3d1: "t= " + (LaTeX[s31]) + " \;  \;  \;  \;  \;  \; t=" + (LaTeX[s32]) + " "
p = 1 (slider from 1 to 3, step 1)
n = 6 (slider from 1 to 6, step 1)
A = (-1.04, 1.24)
lista7a: {A1, A2, A3, A4, A5, ""}
lista7b: {B1, B2, B3, B4, B5, ""}
lista7c: {C1, C2, C3, C4, C5, C6}
lista7e = Join({lista7a, lista7b, lista7c})
pn: (6 * (p - 1)) + 7 - n
texto6a = Element(lista7e, pn)
B = (-3.42, 5.48)
H = (-2.52, -6.98)
I = (0.36, -7.22)
j = Segment(H, I)
texto1: "Sustituir    \;  " + (LaTeX[f]) + "^x \;    por  \; t"
C: B - (0, 2)
D: B - (0, 4)
E: B - (0, 6)
F: B - (0, 8)
G: B - (0, 10)
texto3f2: "x=\frac{" + (LaTeX[l33]) + "}{" + (LaTeX[l31]) + "}= No"
texto3b: "" + (LaTeX[f]) + "^{" + (LaTeX[g]) + "}·" + (LaTeX[f]) + "^{2x}+" + (LaTeX[f]) + "^{" + (LaTeX[c]) + "}·" + (LaTeX[f]) + "^{x}" + (LaTeX[h]) + "=0 \;  \;  \;  \;  \; hacemos   \;  \;  \;  " + (LaTeX[f]) + "^{x}=t"
GG: G + (5.5, 0)