
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
Identify the function that is equivalent to $y=10^{\lg(x-1)}$.
Options:
1. $y=x-1$
2. $y=|x-1|$
3. $y=\left( \frac {x-1}{ \sqrt {x-1}} \right)^{2}$
4. $y=\frac {x^{2}-1}{x+1}$

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