
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 statements:
(1) $b(x+y)=bx+by$
(2) $b^{x+y}=b^x+b^y$
(3) $\log_b (xy) = \log_b x + \log_b y$
(4) $b(x-y)=bx-by$
(5) $b(\frac{x}{y})=\frac{bx}{by}$
Which of these statements are true?
**A)** Only 1, 2 and 4 are true
   **B)** Only 1, 3, and 4 are true
   **C)** Only 1 and 4 are true
   **D)** Only 1, 2, 3, and 4 are true
   **E)** Only 1 and 3 are true

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