Answer:
n=0.6495
Step-by-step explanation:
[tex]We\ need\ to\ solve\ the\ following\ exponential\ equation:\\4^{8n-2}=84\\This\ can\ be\ converted\ into\ a\ logarithmic\ form\ as\ follows:\\8n-2=log_{4}84,\ since\ 8n-2\ is\ the\ indice.\\Hence,\\8n=log_{4}84+2\\n=\frac{log_{4}84+2}{8} \\On\ any\ logarithmic\ calculator,\ we'd\ find\ that:\\log_{4}84=3.196\\Hence,\\n=\frac{3.196+2}{8} =0.6495[/tex]