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 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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