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## What are the log laws and rules?

- Logarithm formula:

When: b^{ y} = a. Results that the base b logarithm of a number a is log_{b }a = y

- Antilogarithm equation:

When: y = log_{b }a. Results that the antilogarithm (inverse logarithm) is determined by raising the base b to the logarithm y: a = log_{b}^{-1}(y) = b^{ y}

- The product rule of the logarithm:

log_{b}(n ∙ m) = log_{b}(n) + log_{b}(m)

- The Logarithm quotient rule

log_{b}(n / m) = log_{b}(n) - log_{b}(m)

- The power rule of the Logarithm

log_{b}(a ^{y}) = y ∙ log_{b}(a)

- Logarithm base change rule

log_{b}(a) = log_{c}(a) / log_{c}(b)

- Logarithm base switch rule

log_{b}(a) = 1 / log_{a}(b)

## How does this log and antilog calculator work?

This calculator has 2 tabs each one designated to perform a specific calculation, as detailed below:

- The 1
^{st}tab can help you calculate the logarithm for a specific number and with a specific base. For example it can find the log_{10}(100000) which is equal to 5 and it will return as well the antilog result which in this case is 10^{5}= 100000. - The 2
^{nd}tab can be used to discover the antilogarithm for a value and with a specific logarithm base. It finds the Inverse Log values with respect to the base given. For example the antilog of 12 with the e(2.71828183) base is equal to 162754.791419.