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Wittaler [7]
3 years ago
11

Expand the expression log 3x^4

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0
<span>log 3x^4 = 4log3x = 4log3 + 4logx</span>
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The greatest common factor (GCF) of x^3, x^7, x^9 is ?<br> Please help
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Answer:

x^3

Step-by-step explanation:

Let the greatest common factor of a,b,c such that a,b,c \in\mathbb{Z} and they are not all equal to zero, d is the common divisor of a and b. Therefore, d \mid a and d \mid b

You can write

D(a) = \{d \in\mathbb{Z} : d \mid a\}

D(b) = \{d \in\mathbb{Z} : d \mid b\}

The greatest common factor of a,b is given as

D(a,b) = \{d \in\mathbb{Z} : d \mid a \text{ and } d \mid b\}

and

D(a, b) = D(a) \cap D(b)

This happens because D(a,b) is upper bounded because if a\neq 0 then d \leq |a|

for all d\in D(a, b). Therefore, the set D(a, b) has the greatest elements.

Taking x^3, x^7, x^9 such that x>0

You can note that x^7 = x^3 \cdot x^4 and x^9 = x^3 \cdot x^6 =  x^3 \cdot x^3 \cdot x^3

Therefore, the greatest common factor is x^3

Note: x^3 \cap x^7 \cap x^9 = x^3

6 0
3 years ago
Can someone please help?
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Answer:

Step-by-step explanation:

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The correct answers are:

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