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To solve for
in the equation
we first rewrite both sides with a common base. We know that
and
. Thus, we can rewrite
as
.
Rewriting the left side, we have:
For the right side, we get:
Now the equation looks like this:
Since the bases are the same, we can set the exponents equal to each other:
Now, we solve for
by first adding
to both sides:
Next, adding
to both sides yields:
Dividing by
:
Therefore, the solution is