
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
Consider the following assertions:
(1) $a(x+y)=ax+ay$
(2) $a^{x+y}=a^x+a^y$
(3) $\log (x+y)=\log x+\log y$
(4) $\frac{\log x}{\log y}=\log{x}/\log{y}$
(5) $a(xy)=ax \cdot ay$
Determine which of the statements are true.
A) Only 1 and 4 are true
B) Only 1 and 5 are true
C) Only 1 and 3 are true
D) Only 1 and 2 are true
E) Only 1 is true

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