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
1. Kate ran 6 miles more than Peter ran. The sum of their distances is 28 miles. How far did Peter run? The domain of the solution is {0, 6, 11, 24}. a. Define your variable. b. Wr


In this last section of this chapter we have to look at some applications of exponential & logarithm functions. Compound Interest This first application is compounding inte

Im an 8th grader and my grades arent the best. Im really having trouble with slope. I just dont get it all that well.

Hi I need help for the next 4weeks with my online math class I have included one assignment instruction below if you can help me please give me a quote I also have math labs that I

Gauss-Jordan Elimination Next we have to discuss elementary row operations. There are three of them & we will give both the notation utilized for each one as well as an instanc

``A car dealer has 22 vehicles on his lot. If 8 of the vehicles are vans and 6 of the vehicles are red, and 10 vehicles are neither vans nor red, how many red vans does he have on


If a firm sellings its product at a price $p per unit, customers would buy q units per day where q = 1,350 - p. The cost of producing q units per day is $C(q) where C(q) = 50q + 36

Coordinates for the point  The listed first number is the x-coordinate of the point and the second number listed is the y-coordinate of the point. The ordered pair for any spec