Question

If a=6 and b=5, find the answer to log base 3 (9ab^2)

Answer 1

`a=6,\ b=5\\\\\log_3(9ab^2)=\log_3[(9)(6)(5^2)]=\log_39+\log_36+\log_35^2\\\\=\log_33^2+\log_3(3\cdot2)+2\log_35=2\log_33+\log_33+\log_32+2\log_35\\\\=2+1+\log_32+2\log_35=3+\log_32+2\log_35`