Логарифмы

1)7 ∗ 10log10 3 = 7 ∗ 3 = 21
2)6 ∗ 8log8 5 =6*5=30
42
3) 2log2 3 =
42
54
4) 7log7 6 =
3
= 14
54
6
=9
log36 16
5) 6 ∗ 10
6) 3
log9 4
=6
log32 4
=3
log62 16
1
log3 4
2
=3
=6
1
log6 16
2
1
log3 4 2
=3
1
=6
7)log 1 √10 =
10
1
2
= 16 = 2
1
2
=4 =2
1
1 −2
(10)
log6 162
1
= √10 8)log 1 √23
23
1 −2
= (23) =√23
9)log11 12.1 + log11 10 = log11 12.1 ∗ 10 = log11 121 = 2
10)log 5 6.25 + log 5 4 = log 5 6.25 ∗ 4 = log 5 25 = 2
11)log 3 5.4 + log 3 5 = log 3 5.4 ∗ 5 = log 3 27 = 3
112
12)log 8 112 − log 8 1.75 = log 8 1.75 = log 8 64 = 2
4
log √14
13) log5 14
5
=
log5 14
=
1
3
log √26
14) log5 26
5
1
log5 14 4
=
log5 263
log5 26
=
1
log5 14
4
log5 14
1
log5 26
3
log5 26
1
=4
1
=3