Answer:
The y-coordinate of the point is approximately 2.42.
Step-by-step explanation:
From the figure attached below the statement we derive the following equation to calculate the y-coordinate (), dimensionless, of the point in terms of the x-coordinate (
), dimensionless, and angle of the line (
), measured in sexagesimal degrees:
(1)
If we know that and
, then the y-coordinate of the point is:
The y-coordinate of the point is approximately 2.42.
The value of x = 75 ⇒ 2nd answer
Step-by-step explanation:
Let us revise some rules of logarithmic function
∵
- 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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