+0  
 
0
571
1
avatar
10^(0.3333(log22+log6.25+log4.2-log7))
 Jan 7, 2016
 #1
avatar+118613 
0

10^(0.3333(log22+log6.25+log4.2-log7))

 

\(10^{(0.3333(log22+log6.25+log4.2-log7))}\\~\\ =10^{0.3333log22+0.3333log6.25+0.3333log4.2-0.3333log7)}\\~\\ =10^{0.3333log22}*10^{0.3333log6.25}*10^{0.3333log4.2}*10^{0.3333log7}\\~\\ =10^{log22^{0.3333}}*10^{log6.25^{0.3333}}*10^{log4.2^{0.3333}}*10^{log7^{0.3333}}\\~\\ =22^{0.3333}*6.25^{0.3333}*4.2^{0.3333}*7^{0.3333}\\~\\ =(22*6.25*4.2*7)^{0.3333}\\~\\ =(4042.5)^{0.3333}\\~\\ \approx 15.92562388\)

 Jan 7, 2016

2 Online Users

avatar