
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
Kris is asked to compute  $\log_{10} (x^y)$ , where  $y$  is a positive integer and  $x$  is a positive real number. However, they misread this as  $(\log_{10} x)^y$  , and compute this value. Despite the reading error, Kris still got the right answer. Given that  $x > 10^{1.5}$  , determine the largest possible value of  $y$ .

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