SOLUTION: Rewrite in a single quanity ln(5) + 2ln(x)-3ln(z)

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Question 61874: Rewrite in a single quanity
ln(5) + 2ln(x)-3ln(z)
Found 2 solutions by funmath, Edwin McCravy:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
ln%285%29%2B2ln%28x%29-3ln%28z%29
ln%285%29%2Bln%28x%5E2%29-ln%28z%5E3%29
ln%285x%5E2%29-ln%28z%5E3%29
highlight%28ln%285x%5E2%2F%28z%5E3%29%29%29
Happy Calculating!!!

Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
                              ln(5) + 2·ln(x) - 3·ln(z)

Use this rule of logarithms:

A·ln(B) = ln(BA)

to rewrite the 2nd and third terms:

                              ln(5) + ln(x2) - ln(z3)

Use this rule of logarithms:

ln(AB) = ln(A) + ln(B)

to rewrite the first two terms:

                                   ln(5x2) - ln(z3)

Use the rule of logarithms:

ln(A/B) = ln(A) - ln(B)

to rewrite this as

                                       ln(5x2/z3)

Edwin