
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 functions f(x) = e^x and g(x) = ln(x),

1. Find the equation of the tangent line to the function y = g(x) at point A(1, 0).
2. Given the function h(x) = f(x - a) - g(x + a), where a > 0, find the value of the real number a such that the minimum value of the function in the interval (0, +∞) is 1.

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