Respuesta :

since no base is stated, assume base 10
remember
loga-logb=log(a/b)
also
[tex]log_a(b)=c[/tex] translates to [tex]a^c=b[/tex]
and log(a^z)=zlog(a)

log25x-log5=2 means
[tex]log_{10}(25x)-log_{10}(5)=2[/tex] translates to
[tex]log_{10}( \frac{25x}{5} )=2[/tex] simplies to
[tex]log_{10}(5x)=2[/tex] translates to
[tex]10^2=5x[/tex] expands to
100=5x
divide both sides by 5
20=x
nyfb

Answer:

40

Step-by-step explanation: