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condense this to a single quantity: 1/2lnX +ln(x+3)ln(x^2 +1)
thanks.
 2 years ago
 2 years ago
condense this to a single quantity: 1/2lnX +ln(x+3)ln(x^2 +1) thanks.
 2 years ago
 2 years ago

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OwlfredBest ResponseYou've already chosen the best response.0
Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!
 2 years ago

LagrangeSon678Best ResponseYou've already chosen the best response.0
This appears to become a quadratic equation
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
really? well im not sure because its logarithms and u need to condense it.
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
how did you get that?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
well it is wrong, so don't write it!
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
oh i see could you please explain it to me?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
\[\frac{1}{2}\ln(x)=\ln(\sqrt{x})\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
because \[\ln(x^n)=n\ln(x)\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
here i am going from the right hand side to the left hand side.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
\[\frac{1}{2}\ln(x)=\ln(x^{\frac{1}{2}})=\ln(\sqrt{x})\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
then we use \[\ln(ab) = \ln(a)+ln(b)\] again from the right to the left.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
so we get \[\ln(\sqrt{x})+\ln(x+3)=\ln(\sqrt{x}(x+3))\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
then we use \[\ln(a)\ln(b)=\ln(\frac{a}{b})\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
to get \[\ln(\sqrt{x}(x+3))\ln(x^2+1)=\ln(\frac{\sqrt{x}(x+3)}{x^2+1})\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
i made a mistake on the first try and wrote \[\frac{1}{2}\ln(x)=\ln(x^2)\] which is wrong
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
there now i deleted it. hope the steps are clear
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
ohhh no i understand thanks so much!!:]
 2 years ago
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