{left(frac{log_{3}({2log_{16}({9})})+log_{3}({27})}{log_{2}({24})-log_{2}({3})}right)}^2 सोडवा

$${ \left( \frac{ \log_{ 3 }({ 2 \log_{ 16 }({ 9 }) }) + \log_{ 3 }({ 27 }) }{ \log_{ 2 }({ 24 }) - \log_{ 2 }({ 3 }) } \right) }^{ 2 }$$

मूल्यांकन करा

$$\frac{\left(\frac{\ln(\ln(3))-\ln(\ln(2))+3\ln(3)}{\ln(3)}\right)^{2}}{9}\approx 1.299007617$$

विस्तृत करा

$$\frac{-2 \log_{e} {(\log_{e} {(2)})} \log_{e} {(\log_{e} {(3)})} + 6 \log_{e} {(3)} \log_{e} {(\log_{e} {(3)})} - 6 \log_{e} {(3)} \log_{e} {(\log_{e} {(2)})} + \log_{e} {(\log_{e} {(2)})} ^ {2} + \log_{e} {(\log_{e} {(3)})} ^ {2} + 9 \log_{e} {(3)} ^ {2}}{9 \log_{e} {(3)} ^ {2}} = 1.2990076165540339$$