Solving Equations using Properties of Logarithms

Question 1

Examine the data below for a stalk of corn. Use logarithmic regression to find an equation of the form y = a + b ln(x) to model the data.

Revolt · Accepted Answer

a =: -76.204; b =: 37.673

Question 2

How would you explain the relationship between the real zero(s) of the function and x-intercept(s) of the graph?

Revolt · Accepted Answer

Since the graph never crosses the x-axis, the function has no real zeros.

Question 3

b =

Revolt · Accepted Answer

37.673

Question 4

After 100 years, about 60100115 grams of the sample will remain.

Revolt · Accepted Answer

115

Question 5

The loudness of a compactor is 94 dB. Its sound intensity is about ✔ 0.00250.00430.0081.

Revolt · Accepted Answer

✔ 0.0025

Question 6

b =

Revolt · Accepted Answer

37.673

Question 7

Using the graphing calculator, estimate to the nearest day how long it will take the corn to reach 6 feet tall: days

Revolt · Accepted Answer

51

Question 8

Using the graphing calculator, estimate to the nearest day how long it will take the corn to reach 6 feet tall: 45✔ 516372

Revolt · Accepted Answer

✔ 51

Question 9

Which equation has real zeros corresponding to the x-intercepts of the graph?

Revolt · Accepted Answer

y = log3(x) – 1

Solving Equations using Properties of Logarithms Answers