Find value of log27 +log 8 +log1000log 120

  $= \frac{\log 33 + \log 23+ \log 103}{\log 10\times 3\times 22}$ 

$=\frac{\log 33 \frac{1}{2}+\log 23+\log 103\frac{1}{2}}{\log (10\times 3\times 22)}$  

$=\frac{\frac{1}{2}\log 33+3 \log 2+\frac{1}{2} \log 103}{\log 10+\log 3+\log 22}$  

$=\frac{\frac{3}{2}\log 3 + 2 \log 2 + \log 10}{\log 3 + 2 \log 2 + \log 10}$ =  $\frac{3}{2}$