
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let $c>0$, consider the propositions P and Q: Proposition P states that $y=\log_c x$ is a decreasing function; Proposition Q states that $2^x - 1 + 2c > 0$ for any $x \in \mathbb{R}$ always holds. If either P or Q is true, but not both, determine the range of values for $c$.

Present the answer in LaTex format: \boxed{Your answer}
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