# How do you condense 2logx-3(logy+2logz)?

Jun 5, 2016

2logx−3(logy+2logz)=log(x^2/(y^3z^6))

#### Explanation:

2logx−3(logy+2logz)

= 2logx−3logy-6logz

= logx^2−logy^3-logz^6

= $\log \left({x}^{2} / \left({y}^{3} {z}^{6}\right)\right)$
The text passage contains a mathematical question in the form of a logarithmic expression to be condensed, and it provides a step-by-step solution leading to the final condensed form of the expression.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# How do you condense 2logx-3(logy+2logz)?

Jun 5, 2016

2logx−3(logy+2logz)=log(x^2/(y^3z^6))

#### Explanation:

2logx−3(logy+2logz)

= 2logx−3logy-6logz

= logx^2−logy^3-logz^6

= $\log \left({x}^{2} / \left({y}^{3} {z}^{6}\right)\right)$
user
The text passage contains a mathematical question in the form of a logarithmic expression to be condensed, and it provides a step-by-step solution leading to the final condensed form of the expression.

TYPE: SINGLE_QUESTION_WITH_ANSWER