
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
Given the equation about \( x \)
$$
\sqrt{m-x^{2}}=\log _{2}(x+n)
$$

When there is one positive and one negative real root, the range of \( n \) is \( 3 \leqslant n<4 \). Then the value of the constant \( m \) is $\qquad$ .

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