Skip to main content
뒤로

Exponential & Logarithmic Equations definitions

컨트롤 버튼이 '내비게이션' 모드로 변경되었습니다.
1/15
  • Exponential Equation
    An equality involving a variable in the exponent, often solved by matching bases or applying logarithms.
  • Logarithmic Equation
    An equality featuring a logarithm with a variable inside, typically solved by equating arguments or converting to exponential form.
  • Base
    The repeated factor in an exponential or logarithmic expression, crucial for rewriting and solving equations.
  • Exponent
    The power to which a base is raised, often containing the variable to be solved in exponential equations.
  • Natural Logarithm
    A logarithm with base e, commonly used when the exponential base is not 10.
  • Common Logarithm
    A logarithm with base 10, typically used when the exponential base is 10.
  • Power Rule
    A property allowing exponents inside a logarithm to be moved in front as a multiplier, aiding in variable isolation.
  • Quotient Rule
    A property enabling the subtraction of logarithms with the same base to be rewritten as the log of a quotient.
  • Isolated Exponential Expression
    An exponential term arranged alone on one side of an equation, a key step before applying logarithms.
  • Like Bases
    Identical bases on both sides of an equation, allowing exponents to be set equal for straightforward solving.
  • Exponential Form
    A rearrangement where a logarithmic equation is rewritten as a base raised to a power equals a number.
  • Linear Equation
    A first-degree equation in one variable, often the result after applying logarithmic or exponential properties.
  • Argument
    The input value inside a logarithm, which must always be positive for the solution to be valid.
  • Approximation
    A decimal value obtained by evaluating a logarithmic or exponential expression, often using a calculator.
  • Solution Check
    A verification step ensuring the argument of a logarithm remains positive after solving for the variable.