Solving Logarithmic Equations
To solve logarithmic equations we take advantage of the properties of logarithmic functions and the fact that
We also use the additional fact that if then M = N for M, a, N positive numbers and
Now we just need to make sure our answers make sense. When x = -7, we have which cannot occur since the domain of
the logarithm function is
Solving Exponential Equations
In a similar fashion to solving logarithmic equations, we can solve exponential equations by using their properties and the fact that if
We start by dividing both sides by 8 to get . Taking the log base 3 of both sides we find that .
Finally by our properties of logarithms .
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