Question 111215
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(x+2)-7ln(x)+3ln(x+7)}}}………..apply property {{{ ln(x^n) = nln(x)}}} on second and third term


{{{ln(x+2)-ln(x^7)+ln((x+7)^3)}}}……….. apply property {{{log  a -  log  b = log  
a/b}}} on first and second term



{{{ln((x+2)/x^7)+ln((x+7)^3)}}}……….. apply property {{{log  a +  log  b = log  
(a/b)}}} on these two terms

{{{ln(((x+2)/x^7)(x+7)^3)))}}}………..


{{{ln((x+2)(x+7)^3/x^7)}}}………..