Question

4 log(x/5) + log(625/4) = 2 logx

Answer 1

Respuesta:

Explicación paso a paso:

4 log (x/5)+ log (625/4)=2logx

4 log (x/5)+ log (625/4=2log (x),

X € (0+&)

4 ( log (x)-log (5))+ log(625/4)=

2log(x)

4 log (x)-4log (5)+log (625/4)=

2log (x)

4log (x)-log (5^-4)+log (625/4)=

2log (x)

4log (x)+log (5^-4 x 625/4)=2log (x)

4log (x)+log (1/5^4 x 5^4/4)=2log

(X)

4log (x)+log (1/4)=2log (x)

4log (x)-2log (x)=-log (1/4)

2log (x)=-lof (2^-2)

Log (x^2)=-(-2log (2))

Log (x^2)=2log (2)

X^2=10^2log(2)

X^2=10^log (2^2)

X^2=2^2

X^2=4

X=+2

X=-2. X € (0,+&)

X=2

X=2