Solución

Despejar

Ecuación lineal

Igualar los argumentos

Suma y resta de logaritmos

Ecuación

Solución

Suma de logaritmos

Logaritmo de potencia

Ecuación cuadrática incompleta

Igualar argumentos

Ecuación

Nueva ecuación

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

1

1

2

2

3

3

Ecuación

Quitar denominadores

Igualar argumentos

Ecuación cuadrática

Solución

Dos tipos de ecuaciones

Logaritmo de una potencia

No  \; válida

No  \; válida

lista4: {2, 3, 5}
e = RandomElement(lista4)
jb: (2 * e) + 1
lista1 = Sequence(k, k, 2, 9)
a = RandomElement(lista1)
jc: e^(2) - a
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)
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)
l1(x) = lg((a * x) + b)
l2(x) = lg(d)
s1: (10^(g) / d - b) / a
ef: e^(f)
fc: f^(c)
fa: (f * a)
di: jb^(2) - (4 * jc)
s31: ((-jb) + sqrt(di)) / 2
s32: ((-jb) - sqrt(di)) / 2
la(x) = lg(x)
lc(x) = lg(x^(2))
lb(x) = lg(b)
s311: lg(s31) / lg(f)
s322: lg(s32) / lg(f)
p = 1 (slider from 1 to 3, step 1)
n = 1 (slider from 1 to 6, step 1)
A = (-1.04, 1.24)
lista7b: {B1, B2, B3, B4, B5, B6}
lista7a: {A1, A2, A3, A4, A5, A6}
pn: (6 * (p - 1)) + 7 - n
B = (-3, 5.56)
H = (-2.52, -6.98)
I = (0.36, -7.22)
j = Segment(H, I)
texto1a: "" + (LaTeX[l1]) + "+" + (LaTeX[l2]) + "=" + (LaTeX[g]) + ""
l4(x) = lg((d * ((a * x) + b)))
l44(x) = lg(((a * x) + b) / d)
l3(x) = lg(10^(g))
texto1b: "" + (LaTeX[l4]) + "=" + (LaTeX[l3]) + ""
texto1bb: "" + (LaTeX[l44]) + "=" + (LaTeX[l3]) + ""
texto1c: "" + (LaTeX[d]) + " \left(  " + (LaTeX[a]) + "x+" + (LaTeX[b]) + " \right) =10^{" + (LaTeX[g]) + "}"
texto1d: "" + (LaTeX[a]) + "x+" + (LaTeX[b]) + "=\frac{10^{" + (LaTeX[g]) + "}}{" + (LaTeX[d]) + "}"
texto1e: "x=\frac{\frac{10^{" + (LaTeX[g]) + "}}{" + (LaTeX[d]) + "}-" + (LaTeX[b]) + "}{" + (LaTeX[a]) + "}"
texto1f: "x=" + (LaTeX[s1]) + ""
texto1cc: "\frac{" + (LaTeX[a]) + "x+" + (LaTeX[b]) + "}{" + (LaTeX[d]) + "}=10^{" + (LaTeX[g]) + "}"
texto1dd: "" + (LaTeX[a]) + "x+" + (LaTeX[b]) + "=" + (LaTeX[d]) + "·10^{" + (LaTeX[g]) + "}"
texto1ee: "x=\frac{" + (LaTeX[d]) + "·10^{" + (LaTeX[g]) + "}-" + (LaTeX[b]) + "}{" + (LaTeX[a]) + "}"
s2: ((d * 10^(g)) - b) / a
texto1ff: "x=" + (LaTeX[s2]) + ""
texto2a: "2" + (LaTeX[la]) + "=" + (LaTeX[la]) + "+" + (LaTeX[g]) + ""
texto2b: "" + (LaTeX[lc]) + "=" + (LaTeX[la]) + "+" + (LaTeX[l3]) + ""
le(x) = lg((10^(g) * x))
texto2c: "" + (LaTeX[lc]) + "=" + (LaTeX[le]) + ""
g10: 10^(g)
texto2d: "x^{2}=" + (LaTeX[g10]) + "·x"
texto2e: "x\left( x-" + (LaTeX[g10]) + "  \right) =0"
lp(x) = lg(a - x)
lq(x) = lg(x + e)
texto3b: "" + (LaTeX[lp]) + "=2" + (LaTeX[lq]) + ""
texto3a: "\frac{" + (LaTeX[lp]) + "}{" + (LaTeX[lq]) + "}=2"
lr(x) = lg((x + e)^(2))
texto3c: "" + (LaTeX[lp]) + "=" + (LaTeX[lr]) + ""
texto3d1: "" + (LaTeX[a]) + "-x=\left( x+" + (LaTeX[e]) + " \right) ^{2}"
texto3e: "x^{2} +" + (LaTeX[jb]) + "x+" + (LaTeX[jc]) + "=0"
texto1aa: "" + (LaTeX[l1]) + "-" + (LaTeX[l2]) + "=" + (LaTeX[g]) + ""
lista7c: {C1, C2, C3, C4, C5, C6}
lista7e = Join({lista7a, lista7b, lista7c})
textoa = Element(lista7e, pn)
C: B - (0, 2)
D: B - (0, 4)
E: B - (0, 6)
F: B - (0, 8)
G: B - (0, 10)
GG: G + (7, 0)
texto2f: "x=" + (LaTeX[g10]) + " \;  \;  \;  \;  \; \;  \;  \; x=0 \;  \;  (No \;  válida)"
texto3f1: "x=" + (LaTeX[s32]) + "\;  \;  \;   \;   \;  \;  \; \;  \;  \; \;  \;  \;  \;  \;  \; x=" + (LaTeX[s31]) + ""
J = (-2.64, -5.06)
K = (2.4, -5.14)
L = (0, -5.34)
M = (-2.56, -3.56)