Question

Condense the expression to the logarithm of a single quantity.

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Answer 1

`\log _3\left(\frac{x^{(1)/(2)}}{\left(y+8\right)^2}\right)`

Explanation:

-> Apply log rules

`\log _3\left(x^{(1)/(2)}\right)-2\log _3\left(y+8\right)`

->

`\log _3\left(x^{(1)/(2)}\right)-\log _3\left(\left(y+8\right)^2\right)`

-> Apply basic math rules

`\log _3\left(\frac{x^{(1)/(2)}}{\left(y+8\right)^2}\right)`