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anyanavicka [17]
3 years ago
9

PLEASE HELP 30 POINTS DONT HAVE TO SHOW WORK 3 ATTACHMENTS PLEASE ANSWER ALL

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0
First one answer is C.
log3(1/81) = -4

-------------
log(45) / log(2) = 5.4919

answer
A. 5.4919
--------------------
next step
x - 1 = 3x+9
2x - 10
x = -5

answer
D. x - 1 = 3x+9

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Answer:

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General Formulas and Concepts:

<u>Algebra II</u>

  • Natural logarithms ln and Euler's number e
  • Logarithmic Property [Multiplying]:                                                                     \displaystyle log(ab) = log(a) + log(b)
  • Logarithmic Property [Dividing]:                                                                         \displaystyle log(\frac{a}{b}) = log(a) - log(b)<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle ln(\frac{2e}{x})<em />

<em />

<u>Step 2: Simplify</u>

  1. Expand [Logarithmic Property - Dividing]:                                                      \displaystyle ln(\frac{2e}{x}) = ln(2e) - ln(x)
  2. Expand [Logarithmic Property - Multiplying]:                                                  \displaystyle ln(\frac{2e}{x}) = ln(2) + ln(e) - ln(x)
  3. Simplify:                                                                                                             \displaystyle ln(\frac{2e}{x}) = ln(2) + 1 - ln(x)
  4. Rewrite:                                                                                                             \displaystyle ln(\frac{2e}{x}) = 1 + ln(2) - ln(x)
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