Respuesta :
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[tex]\boxed{Explained\:Answer}[/tex]
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f (x) = log ( 1+x / 1-x ) ---- 1
f ( 2x / 1+x2 ) = ???
to find this ----- in equation 1 replace "x" by ( 2x / 1+x2 )
then
f ( 2x / 1+x2 ) = log ( 1 + x2 + 2x / 1 + x2 - 2x )
f ( 2x / 1+x2 ) = log ( 1+x / 1-x ) 2
f ( 2x / 1+x2 ) = 2 log ( 1+x / 1-x )
f ( 2x / 1+x2 ) = 2 f(x)
Cheers....
Answer:
x = 10/19
Step-by-step explanation:
[tex]log(x)-log(2x-1) = 1\\log\frac{x}{2x-1}=log(10)\\\frac{x}{2x-1}=10\\x = \frac{10}{19}[/tex]