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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

4. Ellipses

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Exercise 74 Page 644

Use the Quotient Property and Power Property of Logarithms.

log 2

Practice makes perfect

To write the given expression as a single logarithm, we will use the Quotient Property and Power Property of Logarithms. Quotient:& log_b mn=log_b m - log_b n Power:& log_b m^n=n log_b m In the above properties, m, n, and b are positive numbers with b≠ 1. Note that if the base is not stated, it is 10. For example, log 4 = log_(10) 4. Let's use these properties!

3log 2-log 4

m*log(a)=log(a^m)

log 2^3-log 4

Calculate power

log 8-log 4

log_()(m) - log_()(n)=log_()(m/n)

log 8/4

Calculate quotient

log 2

Subchapter links

Lesson Check p.642

Practice and Problem-Solving Exercises p.642-644

Standardized Test Prep p.644

Mixed Review p.644