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Section 3.3
Question 83
Note: I am going to use Example 7 as a guide for me to do 83.
Question 83
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 = 1.189
So, (ln 1, ln 0.5) becomes (0.693, 0.173).
I now must find the slope m using (0.693, 0.173) and the origin.
m = (0.173 - 0)/(0.693 - 0)
m = 0.173/0.693
m = 0.2496392496
Rounding to two decimal places, I get m = 0.25.
I know use the point-slope formula.
y - y_1 = m(x - x_1)
I will use the point (0, 0).
y - 0 = 0.25(x - 0)
y = 0.25
I say the logarithmic equation is y = 0.25 ln x.
You say?
Question 83
Note: I am going to use Example 7 as a guide for me to do 83.
Question 83
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 = 1.189
So, (ln 1, ln 0.5) becomes (0.693, 0.173).
I now must find the slope m using (0.693, 0.173) and the origin.
m = (0.173 - 0)/(0.693 - 0)
m = 0.173/0.693
m = 0.2496392496
Rounding to two decimal places, I get m = 0.25.
I know use the point-slope formula.
y - y_1 = m(x - x_1)
I will use the point (0, 0).
y - 0 = 0.25(x - 0)
y = 0.25
I say the logarithmic equation is y = 0.25 ln x.
You say?