Question

Help me to solve this​

Answer 1

$HEYA \: \\ \\ some \: formula \: of \: log \: \\ \\ 1) \: \: \: log_{a}(b) = y \\ b = a {}^{y} \\ \\ \\ log_{1 \div 2}( log_{t}( log_{4}(32) ) ) = 2 \\ \\ log_{t}( log_{4}(32) ) = (1 \div 2) {}^{2} \\ \\ log_{t}( log_{4}(32) ) = (1 \div 4) \\ \\ log_{4}(32) = t {}^{(1 \div 4)} \\ \\ 32 = 4 {}^{t {}^{(1 \div 4)} } \\ \\ 2 {}^{5} = 2 {}^{2t {}^{1 \div 4} } \\ \\ 5 = 2t {}^{(1 \div 4)} \\ \\ (5 \div 2) = t {}^{(1 \div 4)} \\ \\ t = (5 \div 2) {}^{4} \\ \\ t = 625 \div 16$

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