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saul85 [17]
3 years ago
13

What is the true solution to the equation below? 2 In e^In2x -In e^In10x = In 30

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

The\ domain.\\D:x\in\mathbb{R^+}\\\\2\ln e^{\ln2x}-\ln e^{\ln10x}=\ln30\ \ \ |use\ \log_ab^n=n\log_ab\\\\2\ln2x\ln e-\ln10x\ln e=\ln30\ \ \ \ |use\ \log_aa=1\\\\2\ln2x-\ln10x=\ln30\ \ \ |use\ n\log_ab^n=\log_ab^n\\\\\ln(2x)^2-\ln10x=\ln30\\\\\ln4x^2-\ln10x=\ln30\ \ \ |use\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\ln\dfrac{4x^2}{10x}=\ln30\\\\\ln\dfrac{2x}{5}=\ln30\iff\dfrac{2x}{5}=30\ \ \ \ |\cdot5\\\\2x=150\ \ \ \ |:2\\\\x=75\in D

Answer: x = 75

andrey2020 [161]3 years ago
6 0

Answer:

75

Step-by-step explanation:

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(52+2)-3x -6<br><br> help me with thanks
Yuri [45]

Answer:

48 - 3X

Step-by-step explanation:

( 52+2) - 3x - 6

54 - 3x - 6    So first we deal with the numbers in brackets and that is 52 + 2 giving us 54.

54 - 6 - 3x  Then you simplify the expression that is collecting like terms so then we subtract 6 from 54

48 - 3x This is the final expression after simplifying

HOPE THIS HELPED

3 0
3 years ago
17.25 round up to ones
Irina18 [472]
17.24

Since 7 comes after 5 we need to round to the next number.....18.00

17.24 rounded to ones = 18.00

Hope I helped:P

7 0
3 years ago
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Can someone help me with this question if two figures are similar but not congruent, how are they alike, and how are they differ
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3 0
3 years ago
Use the table to complete Exercises 2 and 3.
sesenic [268]
Hello!

The Correct Answer's would be: 

2. Federal tax rate is 15%
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3 0
3 years ago
8 There are a combined 33 students who play a spring sport of track or
Rzqust [24]

The number of students that are on the track team are 18.

The number of students that are on the baseball team are 15.

<h3>What are the linear equations that represent the question?</h3>

a + b = 33 equation 1

a - b = 3 equation 2

Where:

  • a = number of students that are on the track team
  • b = number of students that are on the baseball team

<h3>How many students that are on the baseball team?</h3>

Subtract equation 2 from equation 1

2b = 30

Divide both sides by 2

b = 30/2 = 15

<h3>How many students that are on the track team?</h3>

Subtract 15 from 33: 33 - 15 = 18

To learn more about simultaneous equations, please check: brainly.com/question/25875552

#SPJ1

8 0
2 years ago
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