If log x - log(2x-1)=1 find x
2 answers:
✿━━━━@♥ℳg━━━━✿
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✿━━━━@♥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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Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
- AC = 2 x XY
- CB = 2 x YZ
From the question given; Triangle XYZ is known to have been dilated by a scale factor of 2 to form a type of triangle known as triangle ACB, So therefore, XYZ and ACB are known to be the same or similar triangles.
Since Angles Y and C are known to both measure 90 degrees, and angles A and X are said to be congruent. Therefore:
tanX = tanA = 5 over 2 and 5 tenths
AC = 2 x XY
CB = 2 x YZ
For part B:
cosX=Base/Hypotenuse
cos A=AC/AB
AC = 2.05
AB = 5.59
Therefore, Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
- AC = 2 x XY
- CB = 2 x YZ
Learn more about triangles from
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