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OpenStudy (anonymous):

Evaluate: 6^-2logbase6x8

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OpenStudy (anonymous):

Looks like this: \[6^{-2\log_{6}8 }\]

OpenStudy (anonymous):

answer is 1/64.

OpenStudy (anonymous):

\[8=2^3\]

OpenStudy (anonymous):

\[\log_6(2)^{(3\times(-2))}=x\]

OpenStudy (anonymous):

\[\log_6(2)^{-6}=x\]

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OpenStudy (anonymous):

\[x=\frac{1}{2^6}\]\[x=\frac{1}{64}\]

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