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VARVARA [1.3K]
2 years ago
9

Given that ex = 120, write this as a logarithm, and find the value of x. (Use a calculator)

Mathematics
1 answer:
Rudik [331]2 years ago
8 0

The value of x = ㏑120 =  4.78749 . . .

Since eˣ = 120, taking the natural logarithm of both sides, we have

㏑eˣ = ㏑120

x㏑e = ㏑120

Dividing though by ㏑e, we have

So, x = ㏑120/㏑e

x = ㏑120/1     (since ㏑e = 1)

x = ㏑120

x = 4.78749

So, the value of x = ㏑120 =  4.78749 . . .

Learn more about natural logarithm here:

brainly.com/question/20877473

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3 years ago
Subtract rational expression. <br> Show work please.
yan [13]

Given:

$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}

To find:

The simplified rational expression by subtraction.

Solution:

Let us factor x^2-1. It can be written as x^2-1^2.

x^2-1^2=(x-1)(x+1) using algebraic identity.

$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x+4}{x-1}-\frac{5}{(x+1)(x-1)}

LCM of x-1,(x+1)(x-1)=(x+1)(x-1)

Make the denominators same using LCM.

Multiply and divide the first term by (x + 1) to make the denominator same.

                        $=\frac{(x+4)(x+1)}{(x-1)(x+1)}-\frac{5}{(x-1)(x+1)}

Now, denominators are same, you can subtract the fractions.

                        $=\frac{(x+4)(x+1)-5}{(x-1)(x+1)}

Expand (x+4)(x+1)-5.

                        $=\frac{x^2+4x+x+4-5}{(x-1)(x+1)}

                        $=\frac{x^{2}+5 x-1}{(x-1)(x+1)}

$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x^{2}+5 x-1}{(x-1)(x+1)}

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3 years ago
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3 years ago
At the beginning of a study of individuals, 10% were classified as heavy smokers, 20% were classified as light smokers, and 70%
LUCKY_DIMON [66]

Answer: 0.39

Step-by-step explanation:

Given the following classification :

Heavy smokers (H) = 10%

Light smokers (L) = 20%

Non smokers (N) = 70%

Given that :

The death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively

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Hence,

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P(D) = [0.1 * 5d + 0.2 * 3d + 0.7 * d]

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P(N | D) = 0.7d / 1.8d

P(N | D) = 0.3888

= 0.39

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3 years ago
540.1 is 55% of what amount
Neko [114]
The answer is 982, it was pretty hard tbh

5 0
3 years ago
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