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 :
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.)
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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