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Trava [24]
3 years ago
15

What is 3 log Subscript 2 Baseline x minus (log Subscript 2 Baseline 3 minus log Subscript 2 Baseline (x + 4)) written as a sing

le logarithm?
Mathematics
2 answers:
KonstantinChe [14]3 years ago
6 0

Answer:

A.

Step-by-step explanation:

Serhud [2]3 years ago
3 0

Answer:

\log_{2} [\frac{x^{3}(x + 4)}{3}]

Step-by-step explanation:

We have to write the following logarithmic expression as a single logarithm.

The given expression is

3\log_{2} x - [\log_{2} 3 - \log_{2}(x + 4)]

= 3\log_{2} x - \log_{2} (\frac{3}{x + 4})

{Since, \log A - \log B = \log \frac{A}{B}, from the properties of logarithmic function }

= \log_{2} x^{3}  - \log_{2} (\frac{3}{x + 4})

{Since, a\log b = \log b^{a}, which also a logarithmic property}

= \log_{2} [\frac{x^{3}}{\frac{3}{x + 4}}]

= \log_{2} [\frac{x^{3}(x + 4)}{3}] (Answer)

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ON YOUR OWN:
qwelly [4]

Answer:

125 defective jeans

Step-by-step explanation:

We are told that;

During inspections, 5 defective pairs of jeans are found in a shipment of 200 pairs of jeans .

We are supposed to determine the number of defective jeans in a shipment of 5000 pairs, if the trend continues.

Therefore;

5 defective = 200 pairs

What about in 5000 pairs?

Number of defective pairs = (5000 × 5 ) ÷ 200

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Thus, in a shipment of 5000 pairs of jeans there will be 125 defective pairs

6 0
3 years ago
The perimeter of a triangle is 76cm side of the triangle is twice as long as side b .side c is 1 cm longer than a side a .find t
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3 years ago
Write the expression 44(4–7)(4) using a single exponent.
Ghella [55]
<h3>The given expression as single exponent is:</h3>

4^4 \times 4^{-7} \times 4 = 4^{-2}

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

4^4 \times 4^{-7} \times 4

In exponents,

When the base is same, exponents can be added

Which means,

a^m \times a^n = a^{m+n}

Therefore,

4^4 \times 4^{-7} \times 4 = 4^{4-7+1}\\\\Simplify\\\\4^4 \times 4^{-7} \times 4 = 4^{-3+1} \\\\4^4 \times 4^{-7} \times 4 = 4^{-2}

Thus the given expression as single exponent is:

4^4 \times 4^{-7} \times 4 = 4^{-2}

8 0
3 years ago
Read 2 more answers
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