Properties of exponential form, Mathematics

Assignment Help:

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

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


Related Discussions:- Properties of exponential form

The sum of two consecutive integers is 41 integer, The sum of two consecuti...

The sum of two consecutive integers is 41. What are the integers? Two consecutive integers are numbers in sequence like 4 and 5 or -30 and -29, that are each 1 number apart. Le

Integration by parts -integration techniques, Integration by Parts -Integra...

Integration by Parts -Integration Techniques Let's start off along with this section with a couple of integrals that we should previously be able to do to get us started. Fir

Area related to circle, If ABCD isaa square of side 6 cm find area of shad...

If ABCD isaa square of side 6 cm find area of shaded region

How many ounces of tomatoes does mark have, Mark has three 4 1/2 oz cans o...

Mark has three 4 1/2 oz cans of tomatoes and ?ve 8 1/4 oz cans. How many ounces of tomatoes does Mark have? Ignore the fractional parts of the mixed numbers at first and mul

Reduce the rational expression to lowest terms, Reduce the following ration...

Reduce the following rational expression to lowest terms.                                     x 2 - 2 x - 8/ x 2 - 9 x + 20 Solution When reducing a rational expressio

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Multiplication and division , In multiplication and division we have 1) ...

In multiplication and division we have 1) Suggested ways of conveying the meaning of multiplication and division to children. These operations have to be taught as an activit

Determine the mass of the hemisphere, Question 1. Use cylindrical coordinat...

Question 1. Use cylindrical coordinates to nd the mass of the solid of density e z which lies in the closed region  Question 2. The density of a hemisphere of radius a (y 

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd