Curriculum placement
Algebra 2. This describes the skill, not a learner estimate.
Properties of logarithms
Rewrite and evaluate logarithms with the product quotient and power rules and change of base
Problem types
- Product, quotient and power rules
- Expand and condense logarithms
- Change of base
Builds on
Leads to
- Solving exponential and logarithmic equations
- Linear growth against exponential growth · See it applied
Log properties turn the equation that compares two exponentials into a linear equation in the unknown time.
- Sums of a finite geometric sequence · See it applied
The number of terms of a geometric series needed to reach a total is found by taking a logarithm.
Related skills
- Rational exponents and radicals · Related idea
Logarithm rules restate exponent rules, and changing the base uses powers with rational exponents.
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