вправа 4.44 гдз 11 клас алгебра Істер 2019
Вправа 4.44
Умова:
Обчисліть:
1) (log1281 + log1264)/(2log123 + 3log122);
2) (2ln4 + ln0,5)/(ln6 - ln12);
3) log5125/8 + log2564.
1) (log1281 + log1264)/(2log123 + 3log122);
2) (2ln4 + ln0,5)/(ln6 - ln12);
3) log5125/8 + log2564.
Відповідь:
1) (log1281 + log1264)/(2log123 + 3log122) = (log1281 • 64)/(log1232 • 23) =
= log125184/log1272 = log725184 = log72722 = 2;
2) (2ln4 + ln0,5)/(ln6 - ln12) = (ln42 • 0,5)/(ln6/12) = ln8/ln1/2 = ln1/28 = ln2-123 = -3;
3) log5125/8 + log2564 = log5125/8 + log58 = log5125/8 • 8 = log525 = lg553 = 3.
= log125184/log1272 = log725184 = log72722 = 2;
2) (2ln4 + ln0,5)/(ln6 - ln12) = (ln42 • 0,5)/(ln6/12) = ln8/ln1/2 = ln1/28 = ln2-123 = -3;
3) log5125/8 + log2564 = log5125/8 + log58 = log5125/8 • 8 = log525 = lg553 = 3.