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

 

a is?

 Jun 22, 2015

Best Answer 

 #1
avatar+118587 
+10

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

 

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

.
 Jun 22, 2015
 #1
avatar+118587 
+10
Best Answer

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

 

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

Melody Jun 22, 2015

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