6^6+6^6+6^6+6^6+6^6+6^6+6^6=6^a

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6^6+6^6+6^6+6^6+6^6+6^6+6^6=6^a

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6^6+6^6+6^6+6^6+6^6+6^6+6^6=6^a

a is?

Guest Jun 22, 2015

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$\\6^6+6^6+6^6+6^6+6^6+6^6+6^6=6^a\\\\ 7*6^6=6^a\\\\ log(7*6^6)=log6^a\\\\ log(7*6^6)=alog6\\\\ \frac{log(7*6^6)}{log6}=a\\\\$

${\frac{{log}_{10}\left({\mathtt{7}}{\mathtt{\,\times\,}}{{\mathtt{6}}}^{{\mathtt{6}}}\right)}{{log}_{10}\left({\mathtt{6}}\right)}} = {\mathtt{7.086\: \!033\: \!132\: \!501\: \!691\: \!3}}$

Melody Jun 22, 2015

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Melody · Answer 1 · 2015-06-22T01:13:24

$\\6^6+6^6+6^6+6^6+6^6+6^6+6^6=6^a\\\\ 7*6^6=6^a\\\\ log(7*6^6)=log6^a\\\\ log(7*6^6)=alog6\\\\ \frac{log(7*6^6)}{log6}=a\\\\$

${\frac{{log}_{10}\left({\mathtt{7}}{\mathtt{\,\times\,}}{{\mathtt{6}}}^{{\mathtt{6}}}\right)}{{log}_{10}\left({\mathtt{6}}\right)}} = {\mathtt{7.086\: \!033\: \!132\: \!501\: \!691\: \!3}}$

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6^6+6^6+6^6+6^6+6^6+6^6+6^6=6^a

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6^6+6^6+6^6+6^6+6^6+6^6+6^6=6^a

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