BackExponential & Logarithmic Equations definitions
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1/15BackSkip to main contentBackExponential 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.
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