Thursday, November 5, 2009

Yesterdays class we learned logarithmic functions.
y=log6x if x=by(y as the exponent) y is the logarithm, b is the base and x is the argument.
Logarithms are exponents.
We did an example like, find log2(subscript)8=3 in exponential form. 2to the 3=8
2 to the ?= 16 9 to the ?=3
2 to the 4=16 9 to the x=3
log2(being the subscript)16=4 (3 to the 2)=3 therefore 2x=1 x=1/2
then: 2 to the ?=1/4 2x=4 to the exponent -1 2x=(2 to the exponent 2) -1(exponent) therefore x=-2 therefore log2(subscript)(1/4)= -2

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