**Step 1**: Express both sides in terms of the same base.

**Step 2**: Equate the exponents.

**Step 3**: Solve the resulting equation.

**Solve**.

It is not always the case that we will be able to express both sides of an equation in terms of the same base. For this reason we will make use of the following property.

**Step 1**: Isolate the exponential and then apply the logarithm to both sides.

**Step 2**: Apply the power rule for logarithms and write the exponent as a factor of the base.

**Step 3**: Solve the resulting equation.

**Solve**.

*e*. We choose these because there is a button for them on the calculator. However, we could certainly choose any base that we wish; this is the basis for the derivation of the change of base formula.

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