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Vsevolod [243]
3 years ago
6

What are the solutions to log_(6)(x^(2 8))=1 log_(6)(x)?

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0
The answer is going to be

(1(6)(x))=1
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Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1
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Answer:

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Step-by-step explanation:

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because if x-7=-2  then |-2|=2>1  satisfying the equation

so we have

x-7>1\\\\x-7+7>1+7\\\\x>8

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x-7

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Answer with explanation:

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Diffrentiating both sides with respect to 'x' we get

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Part 2)

The product of the 2 functions is shown below

h=f(x)\cdot g(x)

Diffrentiating both sides with respect to 'x' we get

h'=\frac{d}{dx}\cdot (f(x)\cdot g(x))\\\\h'=g(x)f'(x)+f(x)g'(x)

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.

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