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2 years ago

X=4 in the equation e^lnx = 4. Why is this so? Can you go through the steps/rules

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

7 0

Answer:

e^(ln x) is just plain x

Step-by-step explanation:

The functions f(x) = e^x and g(x) = ln x are inverses of one another. In other words, one "undoes" the other.

Thus, as the rule goes, e^(ln x) is just plain x.

Here, e^(ln x) = 4 simplifies to x = 4.

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If sec(theta) =25/24, find cot(theta) (Picture provided)

larisa [96]

Answer:

Step-by-step explanation:

By the definition,

$\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.$

If $\sec \theta=\dfrac{25}{24},$ we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

$\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{opposite leg}^2=25^2-24^2,\\ \\\text{opposite leg}^2=625-576,\\ \\\text{opposite leg}^2=49,\\ \\\text{opposite leg}=7\ un.$

So,

$\cot \theta=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{24}{7}.$

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3 years ago

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Zinaida [17]

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2 years ago

Let a be a real number and n a positive integer . show that x-a is a factor of x^n- a^n

nikklg [1K]

Answer:

steps below

Step-by-step explanation:

x-a=0

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TiliK225 [7]

Answer:

Step-by-step explanation:

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mr_godi [17]

Answer:

Step-by-step explanation:

4x=32

÷4 ÷4

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2 years ago