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3 years ago

Pls help asap

Mathematics

1 answer:

jenyasd209 [6]3 years ago

3 0

Answer:

it would be everything multiplied by 10

500

280

200

Step-by-step explanation:

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3 years ago

Beanie works cleaning carpets. He charges $99 per room. If he cleans 3 rooms in one home, 5 in another, and 4

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B. $1188

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3 years ago

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4 years ago

What is the greatest common multiple for 14,21

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3 years ago

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lara31 [8.8K]

One of the rules of logarithms is as follows;

$\begin{gathered} \log _ab=x \\ Is\text{ equivalent to,} \\ a^x=b \end{gathered}$

We can now insert the corresponding values in the question provided, as shown below;

$\begin{gathered} \log _2\frac{1}{16}=-4 \\ \text{This is equivalent to,} \\ 2^{-4}=\frac{1}{16} \end{gathered}$

Note that, one of the rules of exponents, states that a number when raised to the power of a negative value, is equivalent to the reciprocal of that expression. An example is shown below;

$a^{-x}=\frac{1}{a^x}$

Therefore, our equation can now be re-written as follows;

$\begin{gathered} 2^{-4}=\frac{1}{16} \\ \frac{1}{2^4}=\frac{1}{16}^{} \\ \frac{1}{16}=\frac{1}{16} \end{gathered}$

However, the question requires the answer to be expressed in exponential form. Therefore,

$\log _2\frac{1}{16}=2^{-4}$

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2 years ago