SOLUTION: Write as single logarithm a) log(x) + log(y) -log(z) b) log(m) -(log(n) + log(p)) c) log(a) + log(b) - log(c) - log(d) d) log(a) + log(a+b) - log(a-b) Can you please help me

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Question 739798: Write as single logarithm
a) log(x) + log(y) -log(z)
b) log(m) -(log(n) + log(p))
c) log(a) + log(b) - log(c) - log(d)
d) log(a) + log(a+b) - log(a-b)
Can you please help me out? Thanks so much in advance:)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Write as single logarithm
a) log(x) + log(y) -log(z)
Adding logs --> multiplying
Subtracting --> division
log(x) + log(y) -log(z) = log(xy/z)
--------------
b) log(m) -(log(n) + log(p)
Same
c) log(a) + log(b) - log(c) - log(d)
Same
d) log(a) + log(a+b) - log(a-b)
= log(a*(a+b)/(a-b))

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