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
75 band members need to raise a total of 8250.00 for a trip. So far they have raised 3120.00. How much money, in dollars, per band member, still needs to be raised for the trip


approximate pi to the nearest one thousandths1

how to master college algebra and pass with an "A"



The difference of two numbers is 18. The larger number is four more than twice the smaller. What are the numbers?

one no. is 7 more than another and its square is 77 more than the square of the smaller number.What are the numbers?

The Exeter Company produces two basic types of dog toys. Two resources are crucial to the output of the toys: assembling hours and packaging hours. Further, only a limited quantity

what is a word problem for a nonlinear function?