SOLUTION: Express as a single logarithm and, if possible, simplify. 2/3[ln (w2 - 16) - ln(w + 4)] + ln (w + y) These are the possible answers: 1) ln (w - 4)2/3(w + y) 2) ln (w -

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Express as a single logarithm and, if possible, simplify. 2/3[ln (w2 - 16) - ln(w + 4)] + ln (w + y) These are the possible answers: 1) ln (w - 4)2/3(w + y) 2) ln (w -       Log On


   



Question 750025: Express as a single logarithm and, if possible, simplify.

2/3[ln (w2 - 16) - ln(w + 4)] + ln (w + y)
These are the possible answers:
1) ln (w - 4)2/3(w + y)
2) ln (w - 4)2/3(w - y)
3) ln (w - 4)(w - y)
4) ln (w + 4)2/3(w + y)
Please show the steps. Thanks!

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express as a single logarithm and, if possible, simplify.
2/3[ln (w2 - 16) - ln(w + 4)] + ln (w + y)
----
(2/3)ln[(w^2-16)/(x+4)] + ln(w+y)
----
= ln(w-4)^(2/3) + ln(w+y)
-----
= ln[(w-4)^(2/3)*(w+y)]
=======================
Cheers,
Stan H.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F3%29%28ln%28w%5E2+-16%29-ln%28w+%2B+4%29%29+%2B+ln+%28w+%2B+y%29

%282%2F3%29%28ln%28%28w%5E2+-4%5E2%29%2F%28w+%2B+4%29%29%29+%2B+ln+%28w+%2B+y%29

%282%2F3%29%28ln%28%28%28w+-4%29%28w%2B4%29%29%2F%28w+%2B+4%29%29%29%28w+%2B+y%29%29%29%29



%282%2F3%29%2Aln%28w+-4%29%28w+%2B+y%29

so, answer is: 1) ln+%28w+-+4%29%282%2F3%29%28w+%2B+y%29