SOLUTION: Write the expression as a sum, difference, or product if logarithms. Assume that all variables represent positive real numbers. loga(7x^6y)

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Question 691846: Write the expression as a sum, difference, or product if logarithms. Assume that all variables represent positive real numbers.
loga(7x^6y)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Note: all logs written below are base 'a'

log(7x^6y)

log(7*x^6*y)

log(7) + log(x^6*y)

log(7) + [log(x^6*y)]

log(7) + [log(x^6) + log(y)]

log(7) + log(x^6) + log(y)

log(7) + 6*log(x) + log(y)

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Answer: log(7) + 6*log(x) + log(y)

Note: again, all logs on this page are base 'a'

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