
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
In astronomy, the brightness of celestial bodies can be described by their magnitude or luminosity. The magnitudes $m_1$ and $m_2$ of two celestial bodies and their luminosities $E_1$ and $E_2$ are related by the equation $m_2 - m_1 = \frac{5}{2} \log_{10}{\frac{E_1}{E_2}}$. Given that the magnitude of the sun is $-26.7$ and the magnitude of Sirius (the brightest star in the night sky) is $-1.45$, what is the ratio of the luminosity of the sun to that of Sirius?

A) $10^{10.1}$
B) 10.1
C) $\log_{10}{10.1}$
D) $10^{-10.1}$

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