HELP NEEDED IN MATHS

Mathematics

1 answer:

Nata [24]3 years ago

7 0

30-2q=16
-2q=16-30
-2q=-14
q=7

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Select the correct answer.

likoan [24]

Answer:

x = 20

Step-by-step explanation:

Traingle ABC = Traingle DEC

4x-1×4×5 = x+2×4×5

80x-1 = 2×20x

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6 0

3 years ago

Which expression is equivalent to log3(x + 4)?

dangina [55]

Answer:

log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.

Step-by-step explanation:

By the logarithm product rule, for two nonzero numbers $a$ and $b$ ,

$\log{(a \cdot b)} = \log{(a)} + \log{(b)}$ .

Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.

For example, $3(x + 4)$ is the number in the logarithm $\log{[3(x + 4)]}$ . Since $3(x + 4)$ is a product of the two numbers $3$ and $(x + 4)$ , the logarithm $\log{[3(x + 4)]}$ can be split into two. By the logarithm product rule,

$\log{[3(x + 4)]} = \log{(3)} + \log{(x + 4)}$ .

However, $\log{(x + 4)}$ cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.