Log Function Rules Math
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Log function rules math. 1 multiplication inside the log can be turned into addition outside the log and vice versa. 3 an exponent on everything inside a log can be moved. 2 division inside the log can be turned into subtraction outside the log and vice versa. The logarithm of x raised to the power of y is y times the logarithm of x.
Log 2 8 1 log 8 2 logarithm base change rule. The logarithm of the product is the sum of the logarithms of the factors. The base b logarithm of c is 1 divided by the base c logarithm of b. Log b x y y log b x for example.
We usually read this as log base b b of x x. In less formal terms the log rules might be expressed as. If b b is any number such that b 0 b 0 and b 1 b 1 and x 0 x 0 then y logbx is equivalent to by x y log b x is equivalent to b y x.
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