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Lana71 [14]
2 years ago
15

Simplify each expression. ln e

Mathematics
1 answer:
zlopas [31]2 years ago
4 0

ln (e) = 1, by the properties of logarithm.

<h3>What is Logarithm?</h3>
  • The opposite of exponentiation is the logarithm.
  • This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
  • A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Now,

As seen by the definition of logarithms, log_b(a)=x

In case of natural logarithm, b = e, i.e., log_e(a)=x = ln (a) = x

In the given expression, a = e

Hence, ln (e) = x

By properties of logarithms, we get that: ln (e) = 1.

Hence, ln (e) = 1, by the properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

#SPJ4

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1+4=5 2+5=12 3+6=21 8+11=?
lawyer [7]
If you would like to solve this expression, you can calculate this using the following steps:

1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
4 + 7 = 32
5 + 8 = 45
6 + 9 = 60
7 + 10 = 77
8 + 11 = 96

The correct result would be 8 + 11 = 96.
6 0
3 years ago
What is 2x?=29 can anyone help me.
Marysya12 [62]
14.5 hope this helped
7 0
4 years ago
Read 2 more answers
Plz help me with this!!!
Stella [2.4K]

Answer:

Angle Bisector.

Step-by-step explanation:

Okay.

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3 0
3 years ago
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How do you write 1.5 × 104 in standard form?
rewona [7]
I'm assuming you meant 1.5 × 10⁴. Remember, when we write in standard form, you need to use ^ to denote it's 'to the power of'. So it would be 1.5 × 10^4. 

I'm also assuming you meant in decimal form, because that's already in standard form.

However, the answer is 15,000. This is because you lose one zero when multiplying a decimal with one number after it. For each number after the decimal, you take off a zero. Therefore, the end number is 15,000.
5 0
3 years ago
On the basis of extensive tests, the yield point of a particular type of mild steel-reinforcing bar is known to be normally dist
likoan [24]

Answer:

90% Confidence interval:  (8463.1,8528.9)

Step-by-step explanation:

We are given the following in the question:  

Sample mean, \bar{x} = 8496 lb

Sample size, n = 125

Alpha, α = 0.10

Population standard deviation, σ = 100

90% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.10} = 1.645

8496 \pm 1.645(\frac{100}{\sqrt{25}} ) = 8496 \pm 32.9 = (8463.1,8528.9)

6 0
3 years ago
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