Поэтажное и поэтапное решение примеров на упрощение логарифмических выражений (ЕГЭ-2009)
Курсы английского языка в Санкт-Петербурге







































9log345 = 32log345 = 3log3452 = 452 = 45

3log945 = 3log3245 =
31
-
2
log345
=
3log345 1
-
2
=
45 1
-
2
=

45
=
3√
5

3log 1
-
9
45
= 3log3-245 =
3 - 1
-
2
log345
=
3log345 - 1
-
2
=
45 - 1
-
2
=
1

45
=
1

3√
5


3
log945 =
31
-
2
log3245
=
32
-
2
log345
=
3log345 1
-
2
=
45 1
-
2
=

45
=
3√
5


3
log 1
-
9
45
=
31
-
2
log3-245
=
3 - 2
-
2
log345
=
3log345 - 2
-
2
=
45 - 2
-
2
=
1

45
=
1

3√
5

3log545 = 3log30,545 = 32log345 = 3log3452 = 452 = 45

log5125 = log50,553 = 2·3log55 = 6



log56 = log50,560,5 = log56

2 log56 = log562 = log56

2 log37 3 log35 = log372 log353 = log349 log3125 =
log3 49

125

2 log37 + 3 log35 = log372 + log353 = log349 + log3125 =
log3 (49·125)

log5log232 = log55 = 1

log6log5log232 = log6log55 = log61 = 0

1
-
2
log67 = log67 = log62√2