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Expand each logarithm as much as possible to rewrite each expression as a sum, difference or product of logs.

Expand Each Logarithm As Much As Possible To Rewrite Each Expression As A Sum Difference Or Product Of Logs class=

Sagot :

In order to expand this logarithm, we can use the following property:

[tex]\log_a(b\cdot c)=\log_ab+\log_ac[/tex]

So, expanding the given logarithm, we have:

[tex]\begin{gathered} \log_b(7x\cdot2y)\\ \\ =\log_b7x+\log_b2y\\ \\ =\log_b7+\log_bx+\operatorname{\log}_b2+\operatorname{\log}_by \end{gathered}[/tex]

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