5.5 Solving Exponential Equations and Logarithmic Equations

• Solve exponential equations.

• Solve logarithmic equations.

Solving Exponential Equations

Equations with variables in the exponents, such as



are called exponential equations.

Sometimes, as is the case with the equation , we can write each side as a power of the same number:



We can then set the exponents equal and solve:



We use the following property to solve exponential equations.

This property follows from the fact that for any , ,  is a one-to-one function. If , then . Then since f is one-to-one, it follows that . Conversely, if , it follows ...

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