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jeka94
3 years ago
12

What is the answer to this?

Mathematics
1 answer:
olasank [31]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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2 In eIn2x - In eIn 10x = In 30<br>x=30<br>x=75<br>x= 150<br>x=300​
Alex_Xolod [135]

The value of x = 75 ⇒ 2nd answer

Step-by-step explanation:

Let us revise some rules of logarithmic function

  • ln(a) - ln(b)=ln(\frac{a}{b})
  • e^{ln(a)}=a
  • ln(a)^{n}=nln(a) vice-versa nln(a)=ln(a)^{n}
  • If ㏑(a) = ㏑(b), then a = b

∵ 2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)

- Use the 2nd rule to simplify it

∵ e^{ln(2x)}=2x

∵ e^{ln(10x)}=10x

∴ 2㏑(2x) - ㏑(10x) = ㏑(30)

- Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

∵ ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})

∴ ln(\frac{4x^{2}}{10x})=ln(30)

∵ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x

∴ ln(\frac{2}{5}x)=ln(30)

- Use the 4th rule

∴ \frac{2}{5} x = 30

- Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

Learn more:

You can learn more about logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

8 0
3 years ago
In the figure, c // d. What are the measures of &lt;1 and &lt;2? Enter your answers in the boxes. Just write the numbers. (not t
SpyIntel [72]

Answer:  <1 = 105° and <2 = 75°

Step-by-step explanation:

The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.

180 - 75 = 105

<1 = 105 degrees

8 0
3 years ago
Can someone help me find the inverse of this? Please show steps. :(<img src="https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B1%7
miss Akunina [59]
\frac{1}{9}( 3^{x}) = 3 ^ {x-2}
So the inverse is
(log _{3} {x}) + 2

8 0
3 years ago
Read 2 more answers
6y - 9y - 4 = -2y - 2 Solve for y<br><br> Please give step-by-step answer and explaination.
Ivan
Step 1. Subtract the 6y-9y which will give you -3y-4
Step 2. Add 4 to both sides, which will give you -4y = -2y +2
Step 3. Add 2y to the other side, which will
Give you -2y = 2
Step 4. Divide both sides by -2, which will give you -1
8 0
3 years ago
When a number is decreased by 8.3%, the result is 50. What is the original number to
kicyunya [14]

Answer:

54.47? Not too sure.

Step-by-step explanation:

3 0
3 years ago
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