Question

VA ROG EX 16. Ofer Coronița

Answer 1

$a) \\ \\ 3^{2 \times n - 3} =( {3}^{3})^{7}:( {3}^{2})^{2} \\ \\ 3 ^{2 \times n - 3} = {3}^{21}:{3}^{4} \\ \\ 3^{2 \times n - 3} = {3}^{17} \\ \\ 2n = 20 \\ \\ n = 10 \\ \\ b) \\ \\ 5^{3 \times n + 1} = ( {5}^{2})^{11} \\ \\ 5^{3 \times n + 1} = {5}^{22} \\ \\ 3n + 1 = 22 \\ \\ 3n = 21 \\ \\ n = 7 \\ \\ c) \\ \\ {7}^{n + 1 - 4}:{7}^{4} = (7^{4})^{3} \\ \\ 7^{(n - 3)} = {7}^{12} \\ \\ n - 3 = 12 \\ \\ n = 15 \\ \\ d) \\ \\ 10^{2 \times n + 1}:5^{2 \times n + 1} = ( {2}^{3})^{9} \\ \\ 2^{(2 \times n + 1)} = {2}^{27} \\ \\ 2n + 1 = 27 \\ \\ 2n = 26 \\ \\ n = 13$