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Shalnov [3]
3 years ago
5

Please answer right away

Mathematics
1 answer:
zalisa [80]3 years ago
6 0

Answer:

1/5

Step-by-step explanation:

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What is the base of the natural logarithm function f(x) = ln(x)? Explain how you know.
Zarrin [17]

Answer:

base = e

Step-by-step explanation:

The general log function is defined as

f(x)=\log_a x             .... (1)

where, a is the base of the log function.

The natural logarithm function is

f(x)=\ln x

It can be rewritten as

f(x)=\log_e x              .... (2)

where, e is a constant or Euler's number is:

e ≈ 2.71828183

On comparing (1) and (2) we get

a=e

Therefore, the base of the natural logarithm function is e.

4 0
3 years ago
Elimination
SVETLANKA909090 [29]
2x -  4y + 1z = 11 ⇒ 2x - 4y + 1z = 11
1x + 2y + 3z = 9   ⇒ <u>1x + 2y + 3z = 9</u>
3x         + 5z = 12       1x - 2y - 2z = 2
                                                                     1x -  2y - 2z = 2
2x -  4y + 1z = 11                                        <u>-2x + 2y - 2z = -3</u>
1x + 2y + 3z = 9   ⇒ 1x + 2y + 3z = 9                    x - 4z = 1
3x         + 5z = 12 ⇒ <u>3x         + 5z = 12</u>          x - 4z + 4z = 1 + 4z
                                 -2x + 2y - 2z = -3                         x = 1 + 4z
                                                     <u />          1 + 4z - 2y - 2z = 2<u />
                                                               1 - 2y + 4z - 2z = 2
                                                                      1 - 2y + 2z = 2
                                                                    <u>- 1                 - 1</u>   
                                                                          -2y + 2z = 1
                                                                   -2y + 2z - 2z = 1 - 2z
                                                                                  <u>-2y</u> = <u>1 - 2z</u>
                                                                                   -2        -2
                                                                                     y = -0.5 + z
                                                         x + 2(-0.5 + z) - 2z = 2
                                                            x - 1 + z - 2z + 2 = 2
                                                                         x - 1 + z = 2
                                                                         <u>  + 1       + 1</u>
                                                                              x + z = 3
                                                                         x - x + z = 3 - x
                                                                                    z = 3 - x
                                                                      
                                            
<u />
4 0
4 years ago
Slopes 3 and (1,4) is on the line put in standard form
VARVARA [1.3K]
Y - y₁ = m(x - x₁)       slope(m) = 3     point (1, 4)

y - 4 = 3(x - 1)

y - 4 = 3x - 3

y = 3x - 3 + 4

3x - y = -1  <<< your answer

hope this helps, God bless!
5 0
3 years ago
What is 7,433,654 Rounded to the nearest 100,000
lozanna [386]
The answer is 7,400,000

33,654 does not round up because the highest valued digit is not 5 or higher.
5 0
4 years ago
Simon used 3 pears and 9 apples to make a fruit salad. what is the ratio of the number of pears to apples
mrs_skeptik [129]
3:9
=1:3
That is the correct answer
4 0
4 years ago
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