Negative Log Calculator

Formula

The formula to calculate a negative log is:

\[ x = \log_b \left(\frac{1}{a}\right) \]

Where:

\( x \) is the negative log
\( b \) is the base value
\( a \) is the number the negative log is taken of

What is a Negative Log?

A negative log is defined as the number of times required that 1 must be divided by the base in order to achieve the log number. For example, -Log2(0.5) = 1, since \( 1 / 2 = 0.5 \).

Example Calculation

Let's assume the following values:

Base (b): 2
Number (a): 0.5

Step 1: Calculate the Negative Log:

\[ x = \log_2 \left(\frac{1}{0.5}\right) = \log_2 (2) = 1 \]

The negative log is 1.