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Logarithmic functions have the following general properties
If y = loga x, a > 0 and a ≠1, then
The domain of the function is the set of all positive real numbers and the range is the set of all real numbers.
For base a > 1, the function is increasing and concave and for 0 < a < 1, the function is decreasing and convex.
For all bases, y = 0, if x = 1
Observe that natural numbers do not have a zero. This shortcoming is made good when we consider the set of whole numbers. The set of whole numbe
A farmer grows apples on her 400-acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"
Limits At Infinity, Part II : In this section we desire to take a look at some other kinds of functions that frequently show up in limits at infinity. The functions we'll be di
report of shares and devidends
Example of Word Problems Involving Money: A collection of coins consists of nickels, dimes & quarters. The number of quarters is double the number of nickels, and the number o
1,5,14,30,55 find the next three numbers and the rule
How do you calculate compound interest
Suppose a unit circle, and any arc S on the unit circle in the first quadrant. No matter where S is provided, the area between S and the x-axis plus the covered area between S and
The diagram below shows the cross section of a pipe 1/2 inch thick that has an inside diameter of 3 inches. Determine the area of the shaded region in terms of π. a. 8.75π i
Find out the length of y = ln(sec x ) between 0 x π/4. Solution In this example we'll need to use the first ds as the function is in the form y = f (x). So, let us g
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