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The logarithm calculations are the exact opposite of the power calculation: In this case, it is not asked what a² or b² is, but it is asked with what exponent the base becomes a number. For example: with what exponent will 5 become 625? –The answer would be 4, because 5⁴ = 625. The logarithm is the answer to 5^x = 625. This is how it would be said orally: “The logarithm for the base 5 of 625”. Written: log₅ 625 = 4. 

Examples: 

log₅ 25 = 2
log₂ 128 = 7
log₂ 0,25 = - 2
log₄ 1024 = 5
log₁₆ 256 = 2

The most difficult part is the calculator. The calculator only knows two logarithms:

Ø      To the base e -> [ln] àlogarithm naturalism

Ø      To the base 10 -> [log]

Example: log₁₀ 100 = 2

It is then calculated, that the log10 of a number is divided through the log10 of the base.

log₂ 512 = = 9

Generally: log _base P = = Exponent

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02/09/07