Lesson 4: 6-6 Poperties of Logarithms

What is the product/quotient/power property for logarithms?
When would a logarithmic equation have an extraneous solutions?

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A.CED.1 Create equations and inequalities in one variable and use them to solve problems

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In addition to the produce, quotient, and power properties of logarithms, there are other properties such as the four listed below that can be helpful:
log(base b)1=0
log(base b)b=1
log(base b)b^x=x
b^(log(base b)b)=x

The level of acidity in food is important to some consumers with sensitive stomachs. Most of the foods that we consume are more acidic that basic. The pH scale measures acidity; a low pH indicates an acidic solution, and a high pH indicates a basic solution. It is another example of a logarithmic scale based on powers of ten. Black coffee has a pH of 5, while neutral water has a pH of 7. Black coffee is 100 times as acidic as neutral water because 10^(7-5)=100

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Immediately after discussing Example 4, have pairs of students rework the example together without looking at the solutions in the text. Have partners take turns explaining the solutions steps to each other. Have them also discuss the reasonableness of their solutions.

Use McGraw Hill Resources

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