4) 8 log b -log b²c CES * Laws of Logarithm Let b > 0, b # 1 and let y e R. For x > 0, y > 0, then 1. log,(xy) = log, x + log, y 2. log, () = logb X – log, y 3. log, x = y log, x %3D 4. If log, x = log, y then x = y. %3D

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Use the laws of logarithms to condense each expression as single logarithm. State the law/s of logarithm used.
4) 8 log b -log b²c
CES
* Laws of Logarithm
Let b > 0, b # 1 and let y e R. For x > 0, y > 0,
then
1. log,(xy) = log, x + log, y
2. log, ()
= log, x - logb y
3. log, x = y log, x
%3D
4. If log, x = log» y then x = y.
Transcribed Image Text:4) 8 log b -log b²c CES * Laws of Logarithm Let b > 0, b # 1 and let y e R. For x > 0, y > 0, then 1. log,(xy) = log, x + log, y 2. log, () = log, x - logb y 3. log, x = y log, x %3D 4. If log, x = log» y then x = y.
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