emersonjlc2616
emersonjlc2616 emersonjlc2616
  • 01-06-2022
  • Mathematics
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Condense the expression to the logarithm of a single quantity.

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Condense the expression to the logarithm of a single quantity class=

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Аноним Аноним
  • 01-06-2022

Answer:

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

Step-by-step explanation:

-> Apply log rules

[tex]\log _3\left(x^{\frac{1}{2}}\right)-2\log _3\left(y+8\right)[/tex]

->

[tex]\log _3\left(x^{\frac{1}{2}}\right)-\log _3\left(\left(y+8\right)^2\right)[/tex]

-> Apply basic math rules

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

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