This Log and Antilog calculator makes the log/antilog calculations in which the logarithm of a number to a given base is the power/exponent to which the base must be raised in order to equal that specific no.
What are the log laws and rules?
- Logarithm formula:
When: b y = a. Results that the base b logarithm of a number a is logb a = y
- Antilogarithm equation:
When: y = logb a. Results that the antilogarithm (inverse logarithm) is determined by raising the base b to the logarithm y: a = logb-1(y) = b y
- The product rule of the logarithm:
logb(n ∙ m) = logb(n) + logb(m)
- The Logarithm quotient rule
logb(n / m) = logb(n) - logb(m)
- The power rule of the Logarithm
logb(a y) = y ∙ logb(a)
- Logarithm base change rule
logb(a) = logc(a) / logc(b)
- Logarithm base switch rule
logb(a) = 1 / loga(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 1st tab can help you calculate the logarithm for a specific number and with a specific base. For example it can find the log10(100000) which is equal to 5 and it will return as well the antilog result which in this case is 105 = 100000.
- The 2nd 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.