
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
Square $WXYZ$ has an area of $49,$ and $\overline{WZ}$ is parallel to the x-axis. Vertices $W,$ $Z,$ and $Y$ are on the graphs of $y = \log_{b}x,$ $y = 2\log_{b}x,$ and $y = \frac{1}{2}\log_{b}x,$ respectively. What is $b?$
A) $\sqrt[7]{3.5}$
B) $\sqrt[7]{3}$
C) $\sqrt[7]{2.5}$
D) $\sqrt[7]{3.0625}$
E) $\sqrt[7]{4}$

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