DrippQueenMo
Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Ask your questions and receive precise answers from experienced professionals across different disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

EXPAND:
Expand the logarithm fully using the properties of logs. Express the final answer in terms of lo​g x and log y.


log x^5y^2


Here are the answer choices:

A . 5 log x +2 log y

b. 10 log xy

C. 10 log x log y

D. log 5x + log 2y



Explain how you got the answer in Words or either in a mathematical expression!!!

Sagot :

Nayefx

Answer:

[tex] \displaystyle A) 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]

Step-by-step explanation:

we would like to expand the following logarithmic expression:

[tex] \displaystyle \log( {x}^{5} {y}^{2} ) [/tex]

remember the multiplication logarithmic indentity given by:

[tex] \displaystyle \rm \log( \alpha \times \beta ) \iff \log( \alpha ) + \log( \beta ) [/tex]

so our given expression should be

[tex] \displaystyle \log( {x}^{5} ) + \log( {y}^{2} ) [/tex]

by exponent logarithmic property we acquire:

[tex] \displaystyle 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]

hence, our answer is A

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.