logerithms
Logarithm
Logarithm is the exponent or power to which a base must be raised to yield a given number.
An example of a logarithm is as follows. In the expression bx = N, if b is the base and equal to 10 and N a number, equal to 100, then x is equal to 2 and is said to be the logarithm of 100 to the base 10. This is written: log 100 = 2, in which it is understood that log means logarithm …
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…x a) b = x (ab)
x (a/b) = bth root of (x a) = ( bth (x) ) a
x (-a) = 1 / x a
x (a - b) = x a / x b
Logarithms
y = logb(x) if and only if x=b y
logb(1) = 0
logb(b) = 1
logb(x*y) = logb(x) + logb(y)
logb(x/y) = logb(x) - logb(y)
logb(x n) = n logb(x)
logb(x) = logb(c) * logc(x) = logc(x) / logc(b)
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