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Vlada [557]
3 years ago
9

Help me out here please! Thanks.

Mathematics
2 answers:
Setler79 [48]3 years ago
4 0

Answer:

A. \dfrac{1}{5} \log_3 x + \log_3 y

Step-by-step explanation:

\log_3(\sqrt[5]{x} \cdot y) =

The log of a product is the sum of the logs.

= \log_3 \sqrt[5]{x} + \log_3 y

Now, write the root as a rational power.

= \log_3 x^\frac{1}{5} + \log_3 y

The log of a power is the the exponent times the log of the base.

= \dfrac{1}{5} \log_3 x + \log_3 y

leva [86]3 years ago
3 0

Answer:

A. \frac{1}{5} log_{3}x +log_{3}y

Step-by-step explanation:

We have the expression

log_{3} (\sqrt[5]{x} *y)

As these two values are being multiplied, we can separate the two and the sum of them will be equal to the multiplied version

log_{3}\sqrt[5]{x} +log_{3}y

The \sqrt[5]{x} can be rewritten as x^{\frac{1}{5} }. This allows us to use the exponent rule. This means that it can be written as

\frac{1}{5} log_{3}x +log_{3}y

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Step-by-step explanation:

145 bags of beef flavored dog food

                           +

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8 0
3 years ago
3(1 – 2x) > 3 – 6х help
coldgirl [10]

Answer:

<h2>\huge \: x \in ∅</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • inequality
  • distribution
  • PEMDAS
<h3>given:</h3>
  • 3(1  -  2x) > 3 - 6x
<h3>to solve:</h3>
  • x
<h3>let's solve:</h3>

step - 1  : define\\ 3(1  -  2x) > 3 - 6x

step -  2: distribute\\ 3  -  6x > 3 - 6x

step - 3  :  \\ add \: 6x \: to \: both \: sides

3  -  6x  + 6x> 3 - 6x + 6x

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x \in ∅

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2 years ago
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