Logarithm Properties

Logarithm Properties

11th Grade · Math · 45 min· Savvas Realize

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Learning Objective

I can use properties of logarithms to simplify and evaluate expressions.

  • 1

    To solve exponential equations where the bases can be the same, express both sides with the same base and set the exponents equal.

  • 2

    When solving logarithmic equations with multiple logs on one side, use the properties of logarithms to condense the expression into a single logarithm before solving.

  • 3

    If you cannot get the same base on both sides of an exponential equation, take the natural log of both sides, use the power rule to bring the exponents to the front, and then isolate the variable.