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
Solve 2x2 = 128. (Points : 1) {±8} {±6} {±64} {±32}

let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z^=3,x*y*z=4,then 1/(x*y+z-1)+1/(x*z+y-1)+1/(y*z+x-1) is

How do you find perpendicular line equations?

Solve out following inequalities.  Give both inequality & interval notation forms for the solution.       -14 Solution -14   -14 0 Don't get excited regar

2(5+6csquared)-30divided by 3 c=2 d=4

a box whose volumeis 80cubic cm has length,width,height in the ratio 1:2:5 if each of the length,width,height is increased by 2cm how many cubic centimeters will the volume be incr

I have such a hard time understanding them

A toy manufacturer develops a formula to determine the demand for its product depending on the price in dollars. The formula is , where P is the price per unit and D is the number


how to solve the sum of a polynomials