Question

If log x - log(2x-1)=1 find x​

Answer 1

Answer:

x = 10/19

Step-by-step explanation:

$log(x)-log(2x-1) = 1\\log\frac{x}{2x-1}=log(10)\\\frac{x}{2x-1}=10\\x = \frac{10}{19}$

Answer 2

✿━━━━@♥ℳg━━━━✿

$\boxed{Explained\:Answer}$

______________________________

✿━━━━@♥ℳg━━━━✿

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....