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
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

The United States is becoming more health conscious, and as a result,the problem of obesity has gotten more attention.The Body Mass Index (BMI), relates a person’s height and weigh

what is the principal square root of the square number?

calculate this three-wire thread problem.1/2-20 with wire size 0.032"


My age is a multiple of 3 and and a factor of 60. The sum of my digits is 3. How old am I? Im thinking either 180 or 20


I am supposed to put y= -2x-16x-32 in vertex form and identify the vertex , axis of symmetry, and direction of opening.

Three students were participating in a school''s fundraiser. The first student sold 2 candy bars, 7 pies, and 3 cookie dough. The second student sold 10 candy bars, 2 pies, and 2 c

if the square of a positive number is decreased by 10, the result is 6. find the number