No idea - solve log_a(x) defined only for 0<a<1 and a>1

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The discussion revolves around solving the logarithmic expression log_a(x) for bases a that fall within two ranges: 0 < a < 1 and a > 1. Participants clarify that log_a(x) is an expression and cannot be solved without a specific equation or inequality. The need for a more precise problem statement is emphasized, as the current question lacks clarity. The conversation highlights the importance of defining the context in which log_a(x) is being analyzed. Overall, a clear problem statement is essential for meaningful discussion and resolution.
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No idea -- solve log_a(x) defined only for 0<a<1 and a>1

Homework Statement


Describe how to solve log_a(x) defined only for 0<a<1 and a>1
 
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Solve log_a(x) for what? Your question doesn't make sense to me.
 
It is basically a discussion question where I have to describe how to solve log_a x defined only for 0 < a < 1 and a > 1
 
Luxm said:

Homework Statement


Describe how to solve log_a(x) defined only for 0<a<1 and a>1

Your question makes no sense. loga(x) is an expression. You can solve an equation or an inequality, but you can't solve an expression.
 
Here is a snip of it, but yes I'll go back and ask him about the problem.
 

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Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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