Write as the sum and/or difference of logarithms. Express powers as factors \log _4\left(\sqrt{\frac{mn}{19}}\right) . g

is equivalent to  .

Step-by-step explanation:

Let be , we transform this into an equivalent expression with sums and differences of logarithms by applying logarithm properties:

1) Given.

2) Definition of square root.

3)  

4)  

5) Distributive property.

6)  

7) Distributive property/Result.

is equivalent to  .

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