SOLUTION: I am trying to write each expression as a single logarithm this is the problem i am stuck on ln(x+2)-7ln(x)+3ln(x+7)

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Question 111215: I am trying to write each expression as a single logarithm this is the problem i am stuck on
ln(x+2)-7ln(x)+3ln(x+7)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Property 1.
ln(x^n) = nln(x)
For example
ln(105) = 5ln(10) or ln(x^7) = 7ln(x)
Property 2.
ln(x * y) = ln(x) + ln(y)
Property 3.
ln(x/y) = ln(x) - ln(y)

Property 4.
ln(ex) = x

Please be careful because
ln(x + y) is not = ln(x) + ln(y)
nor ln(x - y) is not = ln(x) - ln(y).
ln%28x%2B2%29-7ln%28x%29%2B3ln%28x%2B7%29………..apply property +ln%28x%5En%29+=+nln%28x%29 on second and third term

ln%28x%2B2%29-ln%28x%5E7%29%2Bln%28%28x%2B7%29%5E3%29……….. apply property log++a+-++log++b+=+log++%0D%0Aa%2Fb on first and second term


ln%28%28x%2B2%29%2Fx%5E7%29%2Bln%28%28x%2B7%29%5E3%29……….. apply property log++a+%2B++log++b+=+log++%0D%0A%28a%2Fb%29 on these two terms
ln%28%28%28x%2B2%29%2Fx%5E7%29%28x%2B7%29%5E3%29%29%29………..

ln%28%28x%2B2%29%28x%2B7%29%5E3%2Fx%5E7%29………..