Example of logarithms, Algebra

Example  Evaluate each of the following logarithms.

(a) log1000

 (b) log 1/100

 (c) ln1/e

 (d) ln √e

(e) log34 34

(f) log8 1

Solution

In order to do the first four evaluations we only have to remember what the notation for these are & what base is implied by the notation. The last two evaluations are to show some properties of all logarithms which we'll be looking at eventually.

 (a) log1000 = 3 since 103  = 1000 .

 (b) log  1/100 = -2 since 10-2  =  1/102  =  1/100

 (c) ln 1/e = -1 since e-1 = 1 .

 (d) ln √e = 1 /2 since e 1/2  = √e .

 Notice that along with this one we are actually just acknowledging variation of notation from fractional exponent in radical form.

 (e) log34  34 = 1 since 341 = 34 .Notice that this one will work regardless of the base that we're using.

 (f) log8 1 =0 since 80 =1 Again, note that the base which we're using here won't alter the answer.

Thus, while evaluating logarithms all that we're actually asking is what exponent did we put onto the base to obtain the number in the logarithm.

Now, before we get into some of the properties of logarithms let's first do a couple of quick graphs.

Posted Date: 4/8/2013 3:18:12 AM | Location : United States







Related Discussions:- Example of logarithms, Assignment Help, Ask Question on Example of logarithms, Get Answer, Expert's Help, Example of logarithms Discussions

Write discussion on Example of logarithms
Your posts are moderated
Related Questions
what is a residual and how do you solve for it

how can we solve if the given is negative?

The length of a rectangle is twice it''s width. If the length of its diagonal is 16root5 cm, find its area


A kilometer is about 5/8 mile.About how many miles are in 4 2/5 kilometers? How would I set a proportion?

http://www.transtutors.com/live-online-tutor/math-help/




In this section we will see how knowledge of some rather simple graphs can help us graph some more complexes graphs.  Collectively the methods we will learn in this section are cal