- Joined
- Jun 27, 2021
- Messages
- 5,386
- Reaction score
- 422
Section 3.3
Question 88
Note: I am using Example 7 as a guide for me to work out 88.
I have to use the given information in the box above to find at least one point in the form
(ln x, ln y).
I will use x = 2, y = 0.113.
So, (ln 2, ln 0.113) becomes (0.693, -2.180).
I now must find the slope m using (0.693, -2.180) and the origin.
m = (-2.180 - 0)/(0.693 - 0)
m = -2.180/0.693
m = -3.1457431457
Rounding to two decimal places, I get m = -3.15.
I know use the point-slope formula.
y - y_1 = m(x - x_1)
I will use the point (0, 0).
y - 0 = -3.15(x - 0)
y = -3.15x
I say the logarithmic equation is y = -3.15 ln x.
You say?
Question 88
Note: I am using Example 7 as a guide for me to work out 88.
I have to use the given information in the box above to find at least one point in the form
(ln x, ln y).
I will use x = 2, y = 0.113.
So, (ln 2, ln 0.113) becomes (0.693, -2.180).
I now must find the slope m using (0.693, -2.180) and the origin.
m = (-2.180 - 0)/(0.693 - 0)
m = -2.180/0.693
m = -3.1457431457
Rounding to two decimal places, I get m = -3.15.
I know use the point-slope formula.
y - y_1 = m(x - x_1)
I will use the point (0, 0).
y - 0 = -3.15(x - 0)
y = -3.15x
I say the logarithmic equation is y = -3.15 ln x.
You say?