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anonymous
 5 years ago
ln(5+4x)ln(3+x)=ln3
anonymous
 5 years ago
ln(5+4x)ln(3+x)=ln3

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myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0Write ln[(5+4x)/{3+x)]=ln3

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0base e both sides to get rid of the natural logs

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.05+4x=3(3+x) I multiply 3+x on both sides

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.05+4x=9+3x Distributive property

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0Always check your solution when working with log. You never know the solution may not be in the domain

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you for your help

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0In this case it is, because 5+4x and 3+x is positive for x=4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I have one more question. Is that ok?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0So we want to solve for t. First get the ln(t) by itself

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0Subtract p on both sides: rp=klnt

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0Now divide k on both sides: (rp)/(k)=lnt

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0Base e both sides to get ride of the natural log
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