2 years ago

How do I condense each expression?

Mathematics

1 answer:

Ksivusya [100]2 years ago

5 0

Answer:

$\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}$

Step-by-step explanation:

Make use of the rules of logarithms:

log(a/b) = log(a) - log(b)

log(a^b) = b·log(a)

$5\log_5{x}-\dfrac{1}{4}\log_5{(8-x)}=\log_5{x^5}-\log_5{\sqrt[4]{8-x}}=\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}$

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Given the equation:

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Here, (h,k) is the vertex of the parabola equation given.

Conversion will go like this:

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