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Expand a Ssume That All Variables Represent Positive Real Numbers logb(x2z9)\log _{b}\left(\frac{x^{2}}{z^{9}}\right)

Question 344

Multiple Choice

Expand. A ssume that all variables represent positive real numbers.
- logb(x2z9) \log _{b}\left(\frac{x^{2}}{z^{9}}\right)


A) logbx+2logby+9logbz\log _{b} x+2 \log _{b} y+9 \log _{b} z
B) logbx+2logby9logbz\log _{b} x+2 \log _{b} y-9 \log _{b} z
C) logbx+logby2+logbz9\log _{b} \mathrm{x}+\log _{\mathrm{b}} \mathrm{y}^{2}+\log _{\mathrm{b}} \mathrm{z}^{9}
D) logbx+logby2logbz9\log _{b} x+\log _{b} y^{2}-\log _{b} z^{9}

Correct Answer:

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