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  • https://math.libretexts.org/Courses/Clovis_Community_College/Precalculus%3A__Describing_Relationships_Between_Quantities_in_the_World_Around_Us/03%3A_Exponential_and_Logarithmic_Functions/3.04%3A_Solving_Exponential_Equations_with_Logarithms
    In this section, we will introduce logarithmic functions as a tool to solve exponential equations.  We will also explore solving logarithmic equations and revisit modeling applications with exponentia...In this section, we will introduce logarithmic functions as a tool to solve exponential equations.  We will also explore solving logarithmic equations and revisit modeling applications with exponential functions.
  • https://math.libretexts.org/Courses/Highline_College/Math_111%3A_College_Algebra/05%3A_Exponential_and_Logarithmic_Functions/5.02%3A_Logarithmic_Functions
    Sketching the graph, notice that as the input approaches zero from the right, the output of the function grows very large in the negative direction, indicating a vertical asymptote at x=0. While w...Sketching the graph, notice that as the input approaches zero from the right, the output of the function grows very large in the negative direction, indicating a vertical asymptote at x=0. While we can solve the basic exponential equation 2^{x} =10 by rewriting in logarithmic form and then using the change of base formula to evaluate the logarithm, the proof of the change of base formula illuminates an alternative approach to solving exponential equations.
  • https://math.libretexts.org/Workbench/Business_Precalculus/05%3A_Exponential_and_Logarithmic_Functions/5.02%3A_Logarithmic_Functions
    Sketching the graph, notice that as the input approaches zero from the right, the output of the function grows very large in the negative direction, indicating a vertical asymptote at x=0. While w...Sketching the graph, notice that as the input approaches zero from the right, the output of the function grows very large in the negative direction, indicating a vertical asymptote at x=0. While we can solve the basic exponential equation 2^{x} =10 by rewriting in logarithmic form and then using the change of base formula to evaluate the logarithm, the proof of the change of base formula illuminates an alternative approach to solving exponential equations.
  • https://math.libretexts.org/Courses/North_Hennepin_Community_College/Math_1120%3A_College_Algebra_(Lang)/03%3A_Exponential_and_Logarithmic_Functions/3.03%3A_Logarithmic_Functions
    While we can solve the basic exponential equation 2^{x} =10 by rewriting in logarithmic form and then using the change of base formula to evaluate the logarithm, the proof of the change of base fo...While we can solve the basic exponential equation 2^{x} =10 by rewriting in logarithmic form and then using the change of base formula to evaluate the logarithm, the proof of the change of base formula illuminates an alternative approach to solving exponential equations.

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