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**Solving
Exponential Equations**

Recall
that the inverse of an exponential function is a logarithmic function.
We can use the natural logarithm, *ln x, *to solve an exponential
equation. The following property of logarithms will be needed,

_{},
for any real number k and any positive number u.

### Example

Solve
the equation _{} for
x.

### Solution

We
first divide both sides by 1.5,

_{}.

Now
take the natural logarithm of both sides and apply logarithm property
3,

_{}