Logaritmos Profesor Moisés Grillo Ing. Industrial Derechos reservados

Presentación del tema: "Logaritmos Profesor Moisés Grillo Ing. Industrial Derechos reservados"— Transcripción de la presentación:

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2 Logaritmos Profesor Moisés Grillo Ing. Industrial Derechos reservados
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3 𝑙𝑜𝑔 2 8=3

4 𝑙𝑜𝑔 3 9=2

5 𝑙𝑜𝑔 5 1=0

6 𝑙𝑜𝑔10=1

7 𝒍𝒐𝒈𝒂𝒓𝒊𝒕𝒎𝒐 𝑵ú𝒎𝒆𝒓𝒐 𝒅𝒆 𝒍𝒐𝒈𝒂𝒓𝒊𝒕𝒎𝒐 2 3 =8 𝑙𝑜𝑔 2 8=3 𝑩𝒂𝒔𝒆 𝒅𝒆 𝒍𝒐𝒈𝒂𝒓𝒊𝒕𝒎𝒐

8 7 2 =49 𝑙𝑜𝑔 7 49=2 6 3 =216 𝑙𝑜𝑔 6 216=3 3 4 =81 𝑙𝑜𝑔 3 81=4 2 5 =32 𝑙𝑜𝑔 2 32=5

9 𝑙𝑜𝑔 2 8=3

10 𝑙𝑜𝑔 3 9=2

11 𝑙𝑜𝑔 5 1=0

12 𝑙𝑜𝑔 10 10=1

13 𝑙𝑜𝑔 2 4=2 𝑙𝑜𝑔 3 3=1 𝑙𝑜𝑔 5 25=2

14 𝑙𝑜𝑔 7 49=2 𝑙𝑜𝑔 3 27=3 𝑙𝑜𝑔 2 32=5

15 𝑙𝑜𝑔 3 81=4 𝑙𝑜𝑔 =2 𝑙𝑜𝑔 5 125=3

16 𝑙𝑜𝑔 13 13=1 𝑙𝑜𝑔 17 1=0 𝑙𝑜𝑔 6 216=3

17 𝑙𝑜𝑔1000=3 𝑙𝑜𝑔 45 45=1 𝑙𝑜𝑔 267 1=0

18 𝑙𝑜𝑔 2 8+ 𝑙𝑜𝑔 3 9+ 𝑙𝑜𝑔 5 5 3 + 2 + 1 =6 𝑙𝑜𝑔 𝑙𝑜𝑔 3 81− 𝑙𝑜𝑔 7 49 5 + 4 − 2 =7

19 5 𝑙𝑜𝑔 𝑙𝑜𝑔 3 27−2 𝑙𝑜𝑔 5 25 5 1 + 7 3 − 2 2 5 + 21 − 4 =22

20 2𝑙𝑜𝑔100−4 𝑙𝑜𝑔 2 32−3 𝑙𝑜𝑔 15 1 2 2 − 4 5 − 3 0 4 − 20 − −16

21 𝑎 −𝑛 = 1 𝑎 𝑛 2 −1 = 1 2 9 −1 = 1 9

22 𝑙𝑜𝑔 =−1

23 𝑙𝑜𝑔 =−1 𝑙𝑜𝑔 =−1 𝑙𝑜𝑔 =−1

24 𝑎 −𝑛 = 1 𝑎 𝑛 2 −3 = = 1 8 3 −4 = = 1 81

25 𝑙𝑜𝑔 = 𝑙𝑜𝑔 = 𝑙𝑜𝑔 −4 =−4 𝑙𝑜𝑔 = 𝑙𝑜𝑔 = 𝑙𝑜𝑔 −3 =−3

26 𝑙𝑜𝑔 = −5 𝑙𝑜𝑔 = −4 𝑙𝑜𝑔 = −2 𝑙𝑜𝑔 = −3

27 𝑙𝑜𝑔 = −3 𝑙𝑜𝑔 = −2 𝑙𝑜𝑔 = −3 𝑙𝑜𝑔 = −4

28 𝑙𝑜𝑔 = −3 −3 = −3 = 7 3 =343

29 𝑙𝑜𝑔 = −6 𝑙𝑜𝑔 = −2 𝑙𝑜𝑔 = −3 𝑙𝑜𝑔 = −2

30 3 𝑙𝑜𝑔 𝑙𝑜𝑔 −7 𝑙𝑜𝑔 5 125 3 −1 + 5 −2 − 7 3 −3 − 10 − 21 −34

31 2 𝑙𝑜𝑔 −4 𝑙𝑜𝑔 −3 𝑙𝑜𝑔 2 −2 − 4 −4 − 3 −3 −4 + 16 + 9 −4 + 25 =21