What's the fastest way to find Anti Logarithms(not using interpolation or a log table)

can anyone give me an example using any kind of value? (preferably solving triangles)

The fastest way to find antilogarithms without using interpolation or a log table is to make use of exponentiation and basic arithmetic operations. Here's an example of finding antilogarithms in the context of solving a triangle:

Let's say you have a right triangle with known values for two sides, a and b. You want to find the value of the third side, c.

To solve for c, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The formula for the Pythagorean theorem is: c^2 = a^2 + b^2

To find the value of c, you need to take the square root of both sides of the equation:

c = sqrt(a^2 + b^2)

Here's an example using specific values:

Let's assume a = 3 and b = 4.

Substituting these values into the equation, we get:

c = sqrt(3^2 + 4^2)
= sqrt(9 + 16)
= sqrt(25)
= 5

Therefore, in this example, the value of c is found to be 5.

By using the Pythagorean theorem and basic arithmetic operations like exponentiation and square root, you can find the value of the unknown side in a right triangle without needing to use interpolation or a log table.