Ecuaciones Exponenciales y Logaritmicas

LogₐX = logₐY
X=Y
bᵡ=bᵞ
5ᵡ = 4^(x+1)
ln 5ᵡ= ln 4^(x+1)
X ln 5= (X+1) ln 4
X ln 5= Xln 4+ln 4
X ln 5- Xln 4=ln4

(X(ln5-ln4)=ln4)/(ln5-ln4 ln5-ln4 )
x≈6.2126

2^(1-x )=3
ln2^(1-x)= ln3
(1-X) ln 2=ln3
Ln2-Xln2=ln3
(ln2-ln3=xln2)/(ln2 ln2)
x≈-0.5849


Log2(2X+1)=3
2^3=2X+1
8=2X+1
(-1+8=2X)/(2 2)
X=7/2
2log5X=3log5 4
x^2=4^3
√(x^2 )=4^3
X=±8

2^2x+2^x-12=0
(2^x)^2+2^x-12=0
y^2+y-12=0
(y-3)(y+4)=0

Ln3=ln2^x
(ln3=xln2)/(ln2 ln2)
x≈1.5849