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Logarithms of domain functions

Please answer the following questions:

1. Find the domain of the function f(x) = ln(x - 7).

2. Simplify: log 1000

3. Write as a single logarithm (DO NOT find approximations): 2 log 4 + log x - log2.

4. Expand and simplify: ln(e^x).

5. Solve for x: log(x - 4) + log 2 = 1.

Solution Preview

Please answer the following questions:

1. Find the domain of the function f(x) = ln(x - 7).

The domain is all x so that

x-7>0
i.e.,
...

Solution Summary

Logartithms are solved.

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