An exponential equation is an equation where the variable appears in the exponent.
Note
Exponential equations can have integer, rational, or irrationalsolutions.
Solving Exponential Equations by Guess and Check
Integer Solutions
Hint
Graphing is useful for finding approximate solutionswhen the exact solution is difficult to determine.
Solving Exponential Equations with the Same Base
Equating Exponents
If the bases are the same, the exponents must be equal.
Self review
1. Solve \$5^x = 125\$ by guess and check. 2. Use a graphing calculator to find the solution to \$3^x = 20\$. 3. Solve \$4^{2x+1} = 64\$ by equating exponents.
Theory of Knowledge
How do different methods of solving exponential equations (guess and check, graphing, algebraic manipulation) reflect different ways of knowing in mathematics?
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Note
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Hint
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