SOLUTION: can any one help me solve this please log_4(sqrt(z^5/(t^8r^4))) when log_4(t)=-3.14, log_4(z)=-9.63, Log_4(r)=1.62

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: can any one help me solve this please log_4(sqrt(z^5/(t^8r^4))) when log_4(t)=-3.14, log_4(z)=-9.63, Log_4(r)=1.62      Log On


   

Question 968726: can any one help me solve this please log_4(sqrt(z^5/(t^8r^4))) when log_4(t)=-3.14, log_4(z)=-9.63, Log_4(r)=1.62
Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
Given expression
=log%284%2C%28sqrt%28z%5E5%2F%28t%5E8%2Ar%5E4%29%29%29%29
=%281%2F2%29%2Alog%284%2C%28z%5E5%2F%28t%5E8%2Ar%5E4%29%29%29
=%281%2F2%29%2A%28log%284%2Cz%5E5%29-log%284%2Ct%5E8%29-log%284%2Cr%5E4%29%29
=%281%2F2%29%2A+%285%2Alog%284%2Cz%29+-+8%2Alog%284%2Ct%29+-+4%2Alog%284%2Cr%29%29
=%281%2F2%29%2A+%285%2A%28-9.63%29+-+8%2A%28-3.14%29+-+4%2A1.62%29
=%281%2F2%29%2A+%28-48.15%2B25.12-6.48%29
=-14.755