given the functions

Find the smallest value of in exact form such that the composite function exists.

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- April 10th 2011, 03:00 AMPunchfunctions(2)
given the functions

Find the smallest value of in exact form such that the composite function exists. - April 10th 2011, 03:15 AMProve It
Assuming that you are trying to find ...

.

A logarithm is only defined for positive values of the independent variable, so the innermost logarithm can only be evaluated where .

But since another logarithm will be taken, you can only accept those values for which the innermost logarithm is positive. So where .

Solve for .