Question

Find the value of x in the equation

Answer 1

$good \: \: \: morning \: \: \\ \\ \\ \\ 2 {}^{3x - 1} = 6 \times 7 \div 10 \\ \\ \\ \\ 2 {}^{3x - 1} = 21 \div 5 \\ \\ \\ \\ taking \: log_{2} \: \: \: on \: \: \: both \: \: sides \\ \\ \\ \\ log_{2}(2 {}^{3x - 1} ) = log_{2}(21 \div 5) \\ \\ \\ \\ (3x - 1) log_{2}(2) = log_{2}(21) - log_{2}(5) \\ \\ \\ \\ (3x - 1) \times 1 = log_{2}(21) - log_{2}(5) \\ \\ \\ 3x = log_{2}(21) - log_{2}(5) + 1 \\ \\ \\ \\ x = 1 \div 3( log_{2}(21 \div 5) \ + 1)$