Convert logarithms from one base to another using the Change of Base formula.
Logarithm Parameters
Target: log2(8)
Converted Logarithms
Result3.000000
Using Natural Log (ln):
ln(8) / ln(2) = 2.0794 / 0.6931
Using Log Base 10:
log(8) / log(2) = 0.9031 / 0.3010
Logarithm Change of Base
The Change of Base formula allows you to rewrite a logarithm in terms of logs with another base. This is especially useful because most calculators only have buttons for log (base 10) and ln (base e).
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Pro Tips
The most common new bases (k) to use are 10 (log) and e (ln).
The base 'b' must be positive and not equal to 1.
The argument 'x' must be positive.
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Fun Facts
"Logarithms were invented by John Napier in the 17th century to simplify calculations."
"The change of base rule converts a multiplication problem into an addition problem in the exponent world."
