
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
To fit a set of data with the model $y=ce^{kx}$ (where $e$ is the base of the natural logarithm), in order to find the equation of the regression line, let $z=\ln y$, then the transformed linear regression equation is $z=0.4x+2$. Find the value of $c$.

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