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

Compute the linear convolution, Compute the linear convolution of the discr...

Compute the linear convolution of the discrete-time signal x(n) ={3, 2, 2,1} and the impulse response function of a filter h(n) = {2, 1, 3} using the DFT and the IDFT.

the jetstream''s speed, A passenger jet took 3 hours to fly 1800 km in the...

A passenger jet took 3 hours to fly 1800 km in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the

Activity example of one to one correspondence learning, Devise one activity...

Devise one activity each to help the child understand 'as many as' and 'one-to-one correspondence'. Try them out on a child/children in your neighbourhood, and record your observat

Sequence, how to find the indicated term?

how to find the indicated term?

Geography, How do you find the maxima or minima on a parabolic graph?

How do you find the maxima or minima on a parabolic graph?

Applications of integrals, Applications of Integrals In this part we're...

Applications of Integrals In this part we're going to come across at some of the applications of integration.  It should be noted also that these kinds of applications are illu

Linear algrebra, how do we solve multiple optimal solution

how do we solve multiple optimal solution

Trig/cosine/sine rule etc, #questiThe elevation of a telecommunication mast...

#questiThe elevation of a telecommunication mast from two points, one due North of the tower and the other South of it are 21.2 degrees and 24.3 degrees respectively, and the two p

Probablility, #question.find the number of combinations of the letters a, b...

#question.find the number of combinations of the letters a, b, c, and d taken 3 at a time.

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