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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.

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