Log and Antilog Calculator

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 log₁₀(100000) which is equal to 5 and it will return as well the antilog result which in this case is 10⁵ = 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.