LOGARITHMS give you the 'X Co-ordinate' of a graph, if you know the slope of the graph(tan

__EXAMPLE__|||| Imagine a car moving with a speed increasing at a rate of 10 m/s with every tick of the clock.

|||| i.e

|| In the 1st second,

the speed by the car is 10 m/s,

|| In the 2nd second

The speed of the car jumps to 100m/s

|| In the 3rd second

The speed of the car jumps to 1000m/s and so on...................

|||| So its basically a crazy car.

|||| Now lets say our need is to find out how much time did it take for the car to reach a speed of 500m/s in this whole journey?

Simple......simply take log10(500) which = 2.3 seconds.

|||| Yes, it took just about 2.3 seconds for our crazy car to reach a speed of 500 m/s.

**WHY IS log (A X B) = log ( A ) + log ( B ) ?**

|||| Imagine an elastic. Now lets say you stretch this elastic first 3 times its original length and from there 4 times more its stretched length.

|||| So the elastic is actually stretched 4 x 3 = 12 times.

|||| Now the force required to stretch this string is calculated by log(4 x3)

|||| Now force required = Force required to + Force required to stretch the

required stretch the stretch the string string 3 times from there.

string 12 times 4 times

|||| In other words

Log (12) = log ( 4 ) + log ( 3 )

or

Log( 4 x 3) = log (4 ) + log (3)

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__ABOUT__
Then one day....a miracle happened,....while applying a certain formula again and again.....I came to know its significance. Slowly and steadily....other equations also started clicking. I got to see a strong relationship between Maths and the Physics it was pointing towards. They both were the same. Maths was just an easy language to express a physical phenomenon. And a bit more to that in the sense that it could even predict the behaviour of a certain physical phenomenon. Equations now as if came to life.

Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most.

Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most.

The book on visualizing maths thus got written as a sprout of inspiration. The blog followed. Both these are dedicated to you and all such similar minds searching for answers.

Visualizing Math & Physics is a blog dedicated to you and all such similar minds searching for answers.

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binnoypanicker@gmail.com

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ReplyDeleteBinnoy.

Dear sir/ Dear friend, My answer for log10(500) is 2.7 (second).This is serious mistake in the first example of your illustration e.g. log10(500)=2.3 which is corresponds to log10(200).

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Rajwir Singh, Gurgaon, Haryana, INDIA.