Answered

Get expert advice and community support on IDNLearn.com. Our experts are ready to provide prompt and detailed answers to any questions you may have.

Choose the single logarithmic expression that is equivalent to the one shown.log, 2x-5log, y

Choose The Single Logarithmic Expression That Is Equivalent To The One Shownlog 2x5log Y class=

Sagot :

Given the Logarithmic Expression:

[tex]log_3\text{ }2x-5log_3\text{ }y[/tex]

You can write it has a single Logarithmic Expression as follows:

1. Apply the Power Property of Logarithms:

[tex]mlog_b(n)=log_b(n)^m[/tex]

Then:

[tex]=log_3\text{ }2x-log_3\text{ }y^5[/tex]

2. Apply the Quotient Property of Logarithms:

[tex]log_b(m)-log_b(n)=log_b(\frac{m}{n})[/tex]

Then:

[tex]=log_3\text{ }\frac{2x}{y^5}[/tex]

Hence, the answer is: Second option.

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.