Question

how to find antilog of -2.197

Answer 1

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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