Antilog Calculator

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Antilog Calculator


Antilog Calculator is an online math tool used to find the antilog value for the given number with a given base values. The antilogarithm calculator allows calculation of this sort of logarithm online.

How to use Antilog Calculator?

To use this Inverse log calculator, follow the below steps.

  1. Enter the Antilog value into the input box.
  2. Enter the base value into the next input box.
  3. Hit the Calculate button.
  4. Click the Reset button to reset all values for new calculations.

You will get the step-by-step results instantly.


What is Antilog?

Antilog is an inverse function of the logarithm so we can find the antilog (antilogarithm) with the inverse process of finding the logarithm any number.

Suppose that y is the logarithm of a number x with a given base b, and then by is the antilogarithm (antilog) of x to the base b.

If logb x = y then Antilog = by

Antilog Formula

The equation to find the antilog is given below:

X = Antilogb (logb x)

X = Antilogb y

X = by

In this equation

X = Antilog value

b= base of the log

Y= log value                            


How to calculate Antilog?

For the calculation antilog of any number X, you need to raise the logarithm base b (usually 10, sometimes), to the power of Y: x = logb-1(y) = by

Since log and antilog are inverse functions, then this means that x = by = blog bx, and y = logbx = logb(by).

To calculate the Antilog let’s take an example:

  • Example#01:

Find the antilog for base 10 and the log value 4.

Solution

Step 1: Identify the values from the given problem.

Base (b) = 10

Log value y = 4

Step 2: Use in antilog expression.

Antilog = by

Antilog = 104

Antilog = 10 x 10 x 10 x 10

Antilog = 10000

  • Example#02:

Find the antilog for base 2 and the log value 7.

Solution

Step 1: Identify the values from the given problem.

Base (b) = 2

Log value y = 7

Step 2: Use in antilog expression.

Antilog = by

Antilog = 27

Antilog = 2 x 2 x 2 x 2 x 2 x 2 x 2

Antilog = 128

Some important antilog values

Values

Base 0f 10

Antilog

antilog of 1

101

10

Antilog of 10 1010 10000000000

antilog of -1.5

10-1.5

0.0316

antilog of -2

10-2

0.01

antilog of -3

10-3

0.001

antilog of -4

10-4

0.00009

antilog of -4.5

10-4.5

0.000031

antilog of -5

10-5

0.000009

antilog of -5.4

10-5.4

0.000003

antilog of -6

10-6

0.000001

antilog of -7

10-7

1e-7

antilog of -8

10-8

1e-8

antilog of -9.7

10-9.7

1.995e-10

antilog of -0.2

10-0.2

0.6309

antilog of -0.3

10-0.3

0.501

antilog of -0.4

10-0.4

0.3981

antilog of -0.5

10-0.5

0.3162

 

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