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The value is approximately 4.356915.
Solución

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Como
Bonus Knowledge
To solve the expression
, we can simplify the numerator first.
We use the properties of logarithms:
-
, -
.
Applying these properties, we can rewrite the numerator:
So, the numerator becomes:
Next, we can simplify
:
Now our expression looks like this:
To simplify
:
We can further express
as
and
:
Putting this back, we have:
Where
can be expressed as
.
Now we find the overall expression:
Ultimately, our expression is:
Calculating
:
Now substituting this back, we get:
The complete simplified version of the expression would yield
as we compute individual logarithmic values and combine them as per the rules defined above.
When completing this, we’d conclude with a numerical answer which we can compute explicitly for final validation.
Therefore, the final evaluated result needs to be calculated using logarithmic values or a calculator for numerical precision to find the ultimate ratio.
However, as symbols are being used mainly here, it’s best to substitute with numbers to finally compute.

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