Question 698692: how do you condense: ln x - 2 ln (x^2 + 1) + 1/2 ln (3 - x^4) Found 2 solutions by stanbon, Edwin McCravy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! ln x - 2 ln (x^2 + 1) + 1/2 ln (3 - x^4)
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ln(x) - ln(x^2+1)^2 + ln(3-x^4)^(1/2)
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= ln[x(3-x^4)^(1/2)/(x^2+1)^2]
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Cheers,
Stan H.
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Here it is in a little more detail
Make the coefficients become exponents:
Write the first two terms (the difference of two natural logs) as
the natural log of their quotient:
Write those two terms (the sum of two natural logs) as
the natural log of their product:
Change the exponent to a square root
and put the square root in the numerator multiplied by the x
Edwin