SOLUTION: -2 ln x - 5 ln y + 1/5 ln z Use the property of logarithms to write the expression as one logarithm of one quanity

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: -2 ln x - 5 ln y + 1/5 ln z Use the property of logarithms to write the expression as one logarithm of one quanity       Log On


   



Question 1005481: -2 ln x - 5 ln y + 1/5 ln z
Use the property of logarithms to write the expression as one logarithm of one quanity

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-2%2Aln%28x%29+-+5%2Aln%28y%29+%2B+%281%2F5%29%2Aln%28z%29+
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Use the rule:
+ln%28+a%5Eb+%29+=+b%2Aln%28a%29+
except in reverse
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+-ln%28+x%5E2+%29+-+ln%28+y%5E5+%29+%2B+ln%28+z%5E%281%2F5%29+%29+
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Use the rules:
+ln%28a%29+-+ln%28b%29+=+ln%28a%2Fb%29+
and
+ln%28a%29+%2B+ln%28b%29+=+ln%28+a%2Ab+%29+
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+ln%28+z%5E%281%2F5%29+%2F+%28+x%5E2%2Ay%5E5+%29+%29+