Question

Expand the logarithmic expression log3(2xy3z5). Question 9 options: A) 2(log3x + 3log3y + 5log3z) B) log32x + log3y3 + log3z5 C) log32 + log3x + 3log3y − 5log3z D) log32 + log3x + 3log3y + 5log3z

Answer 1

Answer: D

Explanation:

`\log _(3)\left(2 x y^(3) z^(5)\right) \\ =\log _(3) 2+\log _(3) x+\log _(3) y^(3)+\log _(3) z^(5)`

`\left(\because \log _(c)(a \cdot b)=\log _(c) a+\log _(c) b\right)`

`=\log _(3) 2+\log _(3) x+3 \log _(3) y+5 \log _(3)z \rightarrow \left(\because \log _(c) a^(b)=b \log _(c) a\right)`

Therefore, Option D is the correct answer