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I hope this will be helpful for you
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●HERE IS YOUR ANSWER...
![\frac{log_{3}8 }{ log_{9}16 \: \: \: log_{4}10 } \\ \\ = \frac{ log_{3}(2) {}^{3} }{ log_{(3) {}^{2} }(2) {}^{4} \: .\: log_{(2) {}^{2} }(10) } \\ \\ = \frac{3 log_{3}2 }{ \frac{4}{2} log_{3}2 \: .\: \frac{1}{2} log_{2}10 } \\ \\ = \frac{3 log_{3}2}{2 log_{3}2 \: . \frac{1}{2} log_{2}10} \\ \\ = \frac{3 log_{3}2 }{ log_{ 3}2 \: .\: log_{2}10 } \\ \\ = \frac{3}{ log_{2}10} \\ \\ = 3 \times log_{10}2 \\ \\ = 3 \times 0.30103 \: \: \: \: ( log_{10}2 = 0.30103) \\ \\ = 0.90309 \frac{log_{3}8 }{ log_{9}16 \: \: \: log_{4}10 } \\ \\ = \frac{ log_{3}(2) {}^{3} }{ log_{(3) {}^{2} }(2) {}^{4} \: .\: log_{(2) {}^{2} }(10) } \\ \\ = \frac{3 log_{3}2 }{ \frac{4}{2} log_{3}2 \: .\: \frac{1}{2} log_{2}10 } \\ \\ = \frac{3 log_{3}2}{2 log_{3}2 \: . \frac{1}{2} log_{2}10} \\ \\ = \frac{3 log_{3}2 }{ log_{ 3}2 \: .\: log_{2}10 } \\ \\ = \frac{3}{ log_{2}10} \\ \\ = 3 \times log_{10}2 \\ \\ = 3 \times 0.30103 \: \: \: \: ( log_{10}2 = 0.30103) \\ \\ = 0.90309](https://tex.z-dn.net/?f=+%5Cfrac%7Blog_%7B3%7D8+%7D%7B+log_%7B9%7D16+%5C%3A++%5C%3A++%5C%3A++log_%7B4%7D10++%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+log_%7B3%7D%282%29+%7B%7D%5E%7B3%7D++%7D%7B+log_%7B%283%29+%7B%7D%5E%7B2%7D+%7D%282%29+%7B%7D%5E%7B4%7D++%5C%3A++.%5C%3A++log_%7B%282%29+%7B%7D%5E%7B2%7D+%7D%2810%29++%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B3+log_%7B3%7D2+%7D%7B+%5Cfrac%7B4%7D%7B2%7D+log_%7B3%7D2++%5C%3A++.%5C%3A+++%5Cfrac%7B1%7D%7B2%7D+log_%7B2%7D10+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B3+log_%7B3%7D2%7D%7B2+log_%7B3%7D2+%5C%3A++.+%5Cfrac%7B1%7D%7B2%7D+log_%7B2%7D10%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B3+log_%7B3%7D2+%7D%7B+log_%7B+3%7D2+%5C%3A++.%5C%3A++log_%7B2%7D10+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B3%7D%7B+log_%7B2%7D10%7D++%5C%5C++%5C%5C++%3D+3+%5Ctimes++log_%7B10%7D2+%5C%5C++%5C%5C++%3D+3+%5Ctimes+0.30103+%5C%3A++%5C%3A++%5C%3A++%5C%3A+%28+log_%7B10%7D2+%3D+0.30103%29+%5C%5C++%5C%5C++%3D+0.90309)
..HOPE IT HELPS YOU..
#BE BRAINLY..
..HOPE IT HELPS YOU..
#BE BRAINLY..
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