Problem

b. The equation $\log _{6}(216)=3$ can be written in the form $b^{x}=y$ where:
० $b=$
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ㅇ. $x=$
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ㅇ $y=$
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Answer

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Answer

Final Answer: $b=$ \(\boxed{6}\), $x=$ \(\boxed{3}\), $y=$ \(\boxed{216}\)

Steps

Step 1 :The given equation is in logarithmic form. To convert it to exponential form, we use the formula $b^{x}=y$, where $b$ is the base of the logarithm, $x$ is the value of the logarithm, and $y$ is the argument of the logarithm. In this case, $b$ is 6, $x$ is 3, and $y$ is 216.

Step 2 :Final Answer: $b=$ \(\boxed{6}\), $x=$ \(\boxed{3}\), $y=$ \(\boxed{216}\)

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