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2 years ago

Solve for x: In(x) - In(x+2) = 1

Mathematics

1 answer:

WINSTONCH [101]2 years ago

7 0

The equivalent value of x from the given equation is x = 2e/1-e

<h3>Solving log functions</h3>

Given the log function below expressed as;

lnx - ln(x+2) = 1

Applying the law of logarithm;

ln(x/x+2) = 1

x/x+2 = e^1

x/x+2 = 2.718

x = e(x+2)

x = ex + 2e

x(1-e) = 2e

x = 2e/1-e

Hence the equivalent value of x from the given equation is x = 2e/1-e

Learn more on logarithm here: brainly.com/question/25710806

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The admission fee for a charity event is $7 for children and $10 for adults. The event was attended by 700 people and the total

Hitman42 [59]

X = 7
y = 10
x + y = 700
7x + 10y = 6400

10x + 10y = 7000
(-) 7x + 10y = 6400
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3x = 600
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200 + y = 700
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3 years ago

Alica wrote these numbers:2 9 15 21 which of alicas numbers is not a composite number

natka813 [3]

Answer:

2, because 2 can only be divided by 1 and itself, and thats what a prime number is

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3 years ago

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

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3 years ago

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pentagon [3]

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

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Therefore the option d is correct

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