Juan, Mary, Celia, and Mark work as information specialists at a high tech company. They each spent a certain amount of time fix
ing a problem with the database. Out of the total number of hours all the workers spent, what percent of that time is Celia's?
A) 17%
B) 18%
C) 21%
D) 25%
A) 17%
B) 18%
C) 21%
D) 25%
2 answers:
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The value of x = 75 ⇒ 2nd answer
Step-by-step explanation:
Let us revise some rules of logarithmic function
vice-versa
- If ㏑(a) = ㏑(b), then a = b
∵
- Use the 2nd rule to simplify it
∵
∵
∴ 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
∵
∴
∵
∴
- Use the 4th rule
∴ 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
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