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Algebra 2 › Properties of Logarithms — Product, Quotient, Power Rules
Algebra 2 · F-LE
Properties of Logarithms — Product, Quotient, Power Rules
log(ab) = log(a)+log(b); log(a/b) = log(a)−log(b); log(a^n) = n·log(a). Logarithm base-change: log_b(x) = ln(x)/ln(b).
Algebra 2Common Core HSF-LE.A.4F-LEVerified correct ✓
Worked examples
Use the product rule to expand: log_3(8·2)
Answer: 2.5237
Use the quotient rule to expand: log_3(9/2)
Answer: 1.3691
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