how to find antilog of -2.197
Answers
Concept
The antilog of a positive or negative number can be found in an antilog table. The antithesis of the logarithmic function is called antilog. Specifically, x = antilog if log x = y. (y). To put it another way, "log" turns into an antilog if it goes from one side to the other of the equation. So,
x = antilog (y) if log x = y.
Given
negative number = ₋2.197
Find
the antilog of the above negative number.
Solution
Divide the number into two parts: the part before the decimal, 2 (do not include the minus sign), and the part following it, 0.197.
now add 1 to the portion before the decimal.
= 1₊2 = 3
next, Subtract 1 from the section following the decimal.
= 1 ₋ 0.197 = 0.803
Using a log book or a calculator, find the antilog of the value we obtained in the previous step as follows:
Antilog(0.803) = 6.35
The number we obtained while adding 1 to the number before the decimal part, now has a negative sign added to it, and it is raised to the power of 10:
10⁻³
now multiply 6.35 to 10⁻³ = 6.35×10⁻³ = 127/20000
hence we get the antilog of -2.197 as 127/20000.
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