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AleksandrR [38]
2 years ago
13

If log x - log(2x-1)=1 find x​

Mathematics
2 answers:
QveST [7]2 years ago
4 0

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}

Zinaida [17]2 years ago
3 0

✿━━━━@♥ℳg━━━━✿

<h2>\boxed{Explained\:Answer}</h2>

______________________________

✿━━━━@♥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....

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