Solve 2log_{10}({50})+2log_{10}({3})*3log(64)+5log(30)-5log(12)

$$2 \log_{ 10 }({ 50 }) +2 \log_{ 10 }({ 3 }) \times 3 \log ( 64 ) +5 \log ( 30 ) -5 \log ( 12 )$$

Evaluate

$$\frac{36\ln(2)\ln(3)-8\ln(2)\ln(5)+2\ln(5)^{2}+7\ln(10)^{2}-10\ln(2)^{2}}{\ln(10)^{2}}\approx 10.558241185$$

Factor

$$\frac{36 \log_{e} {(2)} \log_{e} {(3)} - 8 \log_{e} {(2)} \log_{e} {(5)} + 2 \log_{e} {(5)} ^ {2} + 7 \log_{e} {(10)} ^ {2} - 10 \log_{e} {(2)} ^ {2}}{\log_{e} {(10)} ^ {2}} = 10.558241184652543$$