Math, asked by answerQueen53, 1 day ago


 \frac{0.0932 \times 123}{6947 \times 7781}  \: find \: its \: antilog
find it's log and after that it's antilog
please send it's answer urgently

Answers

Answered by realchi2007
0

Answer:

I used a slide rule as a student and early in my professional career. So the techniques described below are embedded deeply in my muscle memory. To multiply two numbers, you just add their logs, and the slide rule was a convenient way of performing that addition. The slide rule also had half length and third length scales, convenient for taking square roots and cube roots.

A log table has two columns. The first is a number and the second is its logarithm. If the log table uses base 10, you only need to list the numbers (with very fine decimal increments) between 1 and 10. You can then obtain the log of larger or smaller numbers by adding the power of 10 to the value from the log table. For example, to get the log of 13, you add 1 (the log of 10) to the log of 1.3 (0.1139) to get 1.1139. To get the log of 0.0013, you add -3 (the log of 1/1000) to the log of 1.3 to get -2.8861.

To get the antilog, you reverse the process. Obtain the power of 10 by adding or subtracting an integer as required to get a value between 0 and 0.99999. If that number is positive, the result of the second step is multipled by that power of 10. If the result of the first step is negative, then divide by that power of 10. So the antilog of 1.1139 is 10*1.3 = 13. And the antilog of -2.8861 is 1.3 divided by 1000, or 0.0013.

To get the reciprocal, you take advantage of the fact that log of the reciprocal equals -1 times the log of the number. So the reciprocal equals antilog[-log(number)]

To get the square root of a number, you multiply its log by 0.5, and then take the antilog. That’s why the slide rule had a half length scale—going from the full length scale to the half length scale was equivalent to halving the log.

Step-by-step explanation:

Answered by 1tonystark
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