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... Start with the given expression.
)
... Set "y" equal to the expression
... Rewrite the equation using the property:
=b^y=x\Leftrightarrow y)
You can probably see that the answer is 2 (since 8 squared is 64), but let's keep going...
^{y}=64)
... Rewrite
as
^{y}=2^6)
... Rewrite
as
... Multiply the exponents.
Since the bases are both equal to 2, this means that the exponents are equal.
... Set the exponents equal to one another.
... Divide both sides by 3.
... Reduce
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Answer:
So the solution is
However, remember that we let
(in the second step), to this means that
=2)
(