
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 that the line y=kx+1 (k in \mathbb{R}) is tangent to the curve y=x^{3}+ax+b (a,b in \mathbb{R}) at point A(1,3), find the value of $\log_{2}k+ab$.

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