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1、Warm Up: Simplify the Expression. Then State briefly how to simplify the exponents.,1. 2. 3.,4-5 Properties of Logarithms,Ex 1: Condense the Expression,a. b.,Remember that Multiplication and Addition go hand-in-hand.,We must have the same base to condense!,ln is in base e.,Division and Subtraction g
2、o hand-in-hand.,Ex 3: Condense the Expression,Here, the distributive law can be used.,Lets Put it all together,Ex 4&5: Condense the expression.,We can Also go Backwards!,We can also “un-distribute” the exponent,Ex6: Expand the expression.,We can Also go Backwards!,Ex 6&7: Expand the expression.,Ex 7
3、: Use log 3 .477 and log 2 .301 to approximate the value of the expression,The Change of Base Formula,Let u, b, and c be positive numbers with b1 and c1. Then:,More specifically:,Ex 8: Use the change of base formula to evaluate the expression,Ex 1: Use properties of logarithms to evaluate the expression,= ?,a.,b.,
