Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Properties
1. The domain of the logarithm function is (0, ∞ ) . In other terms, we can just plug positive numbers into a logarithm! We can't plug in zero or a negative number.
2. logb b = 1
3. logb 1 = 0
4. logb bx= x
5. blogb x = x
The final two properties will be especially useful into the next section. Notice that these last two properties tell us that,
f( x ) = b x and g( x ) = logb x
are inverses of each of other.
Following are some more properties which are useful in the manipulation of logarithms.
More Properties
6. logbxy= logb x + logb y
7. logb (x/y)= logb x - logb y
8. logb( xr) = r logb x
Note as well that there is no equivalent property to the first two for sums & differences. In other terms,
logb( x + y ) ≠ logb x + logb y
logb(x - y ) ≠ logb x - logb y
Determine equation of the tangent line to f (x) = 4x - 8 √x at x = 16 . Solution : We already know that the equation of a tangent line is specified by,
A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the ori
A telephone company charges $.35 for the first minute of a phone call and $.15 for each additional minute of the call. Which of the subsequent represents the cost y of a phone call
briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived
1. Let A = {1,2, 3,..., n} (a) How many relations on A are both symmetric and anti-symmetric? (b) If R is a relation on A that is anti-symmetric, what is the maximum number o
A golf ball has a diameter equal to 4.1cm. Its surface has 150 dimples each of radius 2mm. Calculate the total surface area which is exposed to the surroundings assuming that the d
Marks obtained by 70 students are given below: M arks 20 70 50 60 75 90 40 No.
if the sum of mean and variance of a binomial distribution is 4.8 for five trials, the distribution
Determine the value of a $1800 investment after six years at 9.3% per year, simple interest
Example Suppose the demand and cost functions are given by Q = 21 - 0.1P and C = 200 + 10Q Where, Q - Quantity sold
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd