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Evaluate: 6^-2logbase6x8
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Looks like this: \[6^{-2\log_{6}8 }\]
answer is 1/64.
\[8=2^3\]
\[\log_6(2)^{(3\times(-2))}=x\]
\[\log_6(2)^{-6}=x\]
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\[x=\frac{1}{2^6}\]\[x=\frac{1}{64}\]
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