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TiliK225 [7]
3 years ago
5

Which is equivalent to log1/2462

Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Given the expression:

log_{1/2} 462

we want to find an equivalent expression.

Change of base formula:

log_{a} b = \frac{log b}{log a}

where log means logarithm with base 10, also known as common logarithm.

Then, the expression of the problem is transformed into:

log_{1/2} 462 = \frac{log 462}{log (1/2)}

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<u>Answer-</u>

<em>The polynomial function is,</em>

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<u>Solution-</u>

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))   ( ∵ (3-i) is the conjugate of (3+i) )

\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)

\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)

\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)

\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)

\Rightarrow y=(x^2-4x+4)(x^2-6x+10)

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\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40

\Rightarrow y=x^4-10x^3+38x^2-64x+40

Therefore, this is the required polynomial function.


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