SOLUTION: write 2log x - 3log y - 5log z as a single logarithm whose coefficient is 1.

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Question 291650: write 2log x - 3log y - 5log z as a single logarithm whose coefficient is 1.
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
write 2log x - 3log y - 5log z as a single logarithm whose coefficient is 1.
2log x - 3log y - 5log z
logarithmic rule: log (m^n) = nlog m
log x^2 - log y^3 - log z^5
logarithmic rule: log (m/n) = log m - log n
log x^2/y^3 - log z^5
log (x^2/y^3)/z^5
simplify (x^2/y^3)/z^5
x^2/y^3 * 1/z^5 = x^2/(y^3*z^5)
log x^2/(y^3*z^5)