E f OAwlTl3 0r3i1gHhntwsG SrPeCsMeHruvQekds.G. Expanding and Condensing Logarithms. Condense each expression to a single logarithm.
20 2 0 Kuta Software LLC. All rights r. Expanding Logarithms. Expand each logarithm. 1) log 7. 6. 3) log 6. 5) log 7. 7) log 6. 9) log 2.
2018 Kuta Software LLC. A 11 rights reserved. 4.4 Expanding and Condensing Logarithms. Expand each logarithm. C. 1) log. 3) log (x4µ³).
Power rule: ploga M = loga Mp. Be careful: Notice that we can condense only logarithms with the same base . 1. Example: Condense the following expression as
Condense each expression to a single logarithm. 1) 15log. 5 a + 3log. 5 b. 2
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The following properties serve to expand or condense a logarithm or logarithmic expression so it can be worked with. Properties of logarithms. Example log log.
Expansion/Contraction Properties of Logarithms. These rules are used to write a single complicated logarithm as several simpler logarithms (called “ex- panding”)
I can use properties of logarithms to expand logarithms. Example 2 Expand a logarithmic expression ... Example 3 Condense a logarithmic expression.
Expand the following using the properties of logarithms and simplify. Assume the utility of expanding logarithms becomes apparent in Calculus.