Exponential Equations

Exponential Equations

An exponential equation is one in which a variable occurs in the exponent.

An exponential equation in which each side can be expressed in
terms of the same base can be solved using the property:

\(b^x\) = \(b^y\) then x=y

If the bases are the same, set the exponents equal.

Examples :

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Unfortunately, not all exponential equations can be expressed in terms of a common base. For these equations, logarithms are used to arrive at a solution. (You may solve using common log or natural ln.)

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To solve most exponential equations:
1. Isolate the exponential expression.
2. Take log or ln of both sides.
3. Solve for the variable.

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