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natali 33 [55]
3 years ago
6

Which is 5logx - 6log(x-8) written as a single logarithm?

Mathematics
2 answers:
ira [324]3 years ago
6 0

Answer:

option a

log\frac{x^{5} }{(x-8)^{6} }

Step-by-step explanation:

Given in the question an expression

5logx - 6log(x-6)

To solve this question we will apply two of the logarithm property

1) power rule

alogx = logx^{n}

logx^{5} - log(x-8)^{6}

2) substraction rule

The log of a quotient is the difference of the logs

loga (x/y) = loga x - loga y

logx^{5}- log(x-8)^{6}

log\frac{x^{5} }{(x-8)^{6} }

Alecsey [184]3 years ago
4 0

Answer:

a edge

Step-by-step explanation:

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Remove the largest possible common factor. Check your answer by multiplication.
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Answer:

7x

Step-by-step explanation:

3 0
3 years ago
Find an equation of the slant asymptote. Do not sketch the curve. y = 5x4 + x2 + x x3 − x2 + 5
murzikaleks [220]

Answer:

The slant asymptote is y=5 x + 5.

Step-by-step explanation:

Line y=mx+b is a slant asymptote of the function y=f{\left(x \right)}, if either m=\lim_{x \to \infty}\left(\frac{f{\left(x \right)}}{x}\right)=L or m=\lim_{x \to -\infty}\left(\frac{f{\left(x \right)}}{x}\right)=L, and L is finite.

We want to find the slant asymptotes of the function

f(x)=\frac{5 x^{4} + x^{2} + x}{x^{3} - x^{2} + 5}

First, do polynomial long division

\frac{5 x^{4} + x^{2} + x}{x^{3} - x^{2} + 5}=5 x + 5+\frac{6 x^{2} - 24 x - 25}{x^{3} - x^{2} + 5}

Next, we use the above definition,

The first limit is

\lim_{x \to \infty}\left(\frac{6x^2-24x-25}{x^3-x^2+5}\right)=0

The second limit is

\lim_{x \to -\infty}\left(\frac{6x^2-24x-25}{x^3-x^2+5}\right)=0

The rational term approaches 0 as the variable approaches infinity.

Thus, the slant asymptote is y=5 x + 5.

8 0
3 years ago
If the square root of n is approximately equal to 4.2, then n is between _____.
Sliva [168]

Answer:

16 and 25

Step-by-step explanation:

Given that the square root of n = 4.2, let's find an expression for this, then find the possible value of n.

Thus:

\sqrt{n} = 4.2

Solve for n. Square both sides.

(\sqrt{n})^2 = (4.2)^2

n = 17.64

Therefore, if the sqrae root of n was approximately equal to 4.2, then we can conclude that n is between 16 and 25.

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4 years ago
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Step-by-step explanation:

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Answer:A hope this helped
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