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To solve the equation
, we can start by rewriting it in terms of the hyperbolic sine function. Recognizing that
, we can rewrite the equation as:
Dividing both sides by 2 gives us:
Now we can solve for
using the inverse hyperbolic sine function:
This can also be expressed in terms of logarithms:
Thus, the solution for
is:
So, the final answer is:
And that’s the value of
!