Question

find the value of 8/27to the bese 2/3

Answer 1

$good \: \: morning \\ \\ \\ \\ \\ log_{x}(x {}^{n} ) = n log_{x}(x) = n\\ \\ \\ log_{2 \div 3}(2 {}^{3} \div 3 {}^{3} ) \\ \\ \\ \\ log_{2 \div 3}(2 \div 3) {}^{3} \\ \\ \\ \\ 3 \times log_{2 \div 3}(2 \div 3) \\ \\ \\ \\ 3 \times 1 = 3$