Question

slove the math please​

Answer 1

$good \: \: morning \\ \\ log_{2}(x) + log_{2 {}^{2} }(x) + log_{2 {}^{4} }(x) = 21 \div 4 \\ \\ log_{2}(x) + (1 \div 2) log_{2}(x) + (1 \div 4) log_{2}(x) = 21 \div 4 \\ becoz \: \: \: \: log_{y {}^{b} }(u) = (1 \div b) log_{y}(u) \\ \\ log_{2}(x \times x {}^{1 \div 2} \times x {}^{1 \div 4} ) = 21 \div 4 \\ becoz \: \: (1 \div b) log_{g}(d) = log_{g}(d {}^{1 \div b} ) \\ \\ log_{2}(x {}^{7 \div 4} ) = 21 \div 4 \\ \\ x {}^{7 \div 4} = 2 {}^{(21 \div 4)} \\ becoz \: \: \: log_{ \alpha }( \beta ) = \gamma \\ \beta = \alpha {}^{ \gamma } \\ \\ x = 2{}^{(21 \div 4) \times (4 \div 7)} \\ \\ x = 2 {}^{3}$