Answer:
Step-by-step explanation:
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
Multiply both sides by 5
∴ 2 x = 150
- Divide both sides by 2
∴ x = 75
The value of x = 75
Answer:
The answer is below
Step-by-step explanation:
From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).
a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through
Hence since it passes through (7.75, 0) and (10.75, 42), the equation is:
b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:
y = 14x - 108.5
56 = 14x - 108.5
56 + 108.5 = 14x
164.5=14x
x = 164.5/14
x = 11.75
When the tower is 56 meters tall, the top of the tower is 11.75 m off center
