Equations involving exponential functions or logarithms

Eliminating exponential functions or logarithms in equations.

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Concept Content
Exponential functions Examples of exponential functions.
Logarithm Important rules of the logarithm.
Equivalence transformations Modify equations using equivalence transformations.
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Study Equations involving exponential functions or logarithms

To solve equations in which the variable appears in an exponent or a logarithm, the same approach as for radical equations is used:

  1. Isolate the logarithm or the exponential function in which the variable appears.

  2. Cancel the function by taking exponentials or logarithms on both sides.

  3. Repeat the first two steps until all exponentials or logarithms have been eliminated.

  4. Solve the resulting equation.

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