# 8.4 - c An expression is fully expanded when r There are no...

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1 Section 8.4 Properties of Logarithms Objectives c Simplify Logarithmic expressions c Expand Logarithmic expressions c Use a calculator to approximate logs Review c Simplify each of the following c How should we simplify the following? 3 5 x x 2 19 y y ( ) 5 4 z 6 log 4 log 2 2 + 10 log 9 log 6 6 - 8 log 2 Properties of Logarithms – WRITE THESE DOWN N M MN b b b log log ) ( log + = N M N M b b b log log log - = M p M b p b log log = Write each expression as a single log 7 log 2 56 log b b - y x m m log 2 1 log 3 + 4 log 10 log 9 log 6 6 6 + - ( ) 4 log 10 log 9 log 6 6 6 + - z y x log log log - + Expand Each Logarithm 3 log xy x 10 log 2 2 3 ) 7 ( 4 log - x 8 2 6 2 log y x

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2 Summary c An expression is fully condensed when: r There is are no more coefficients on any of the logarithms r There is no more addition or subtraction between logarithms of the same base r The expression inside the logarithm is simplified
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Unformatted text preview: c An expression is fully expanded when: r There are no more exponents inside the logarithms r There is no more multiplication or division inside the logarithms More Practice CONDENSE EXPAND ( ) y x 2 2 2 log 4 7 log log 3 1 +-xy y 2 log 3 2 3 The Change of Base Formula c Now you can use your calculator to approximate logs. c For any positive numbers M, b, and c , with b 1 and c 1, b M M c c b log log log = Use a calculator to approximate each of the following expressions. 112 log 3 7 log 2 Homework # ____ c Page 449 (11-29 odd) (33-41odd), 42 c Page 456 (11-14) r ignore the part about changing things to base 8....
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## This note was uploaded on 05/13/2011 for the course MTH 98 taught by Professor Johnson during the Fall '09 term at Grand Valley State.

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8.4 - c An expression is fully expanded when r There are no...

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