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NM4 Logaritmos 2

This document contains three sections with logarithmic exercises to solve. The first section contains 18 problems calculating logarithms. The second section contains 17 problems determining the value of x in various logarithmic equations. The third section contains 12 problems evaluating logarithms using given logarithmic values of log 2, log 3, and log 7.

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Claudio Aguilera
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38 views2 pages

NM4 Logaritmos 2

This document contains three sections with logarithmic exercises to solve. The first section contains 18 problems calculating logarithms. The second section contains 17 problems determining the value of x in various logarithmic equations. The third section contains 12 problems evaluating logarithms using given logarithmic values of log 2, log 3, and log 7.

Uploaded by

Claudio Aguilera
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOC, PDF, TXT or read online on Scribd
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EJERCICIOS DE LOGARITMOS

I ) Calcular :
1 ) log 2 8 = R: 3
2 ) log 3 9 = R: 2
3 ) log 4 2 = R: 0,5
4 ) log 27 3 = R: 1/3
5 ) log 5 0,2 = R: 1
6 ) log 2 0,25 = R: 2
7 ) log 0,5 16 = R: 4
8 ) log 0,1 100 = R: 2
9 ) log 3 27 + log 3 1 = R: 3
10 ) log 5 25 log 5 5 = R: 1
11 ) log 4 64 + log 8 64 = R: 5
12 ) log 0,1 log 0,01 = R: 1
13 ) log 5 + log 20 = R: 2
14 ) log 2 log 0,2 = R: 1
15 ) log 32 / log 2 = R: 5
16 ) log 3 / log 81 = R: 0,25
17 ) log 2 3 log 3 4 = R: 2
18 ) log 9 25 log 3 5 = R: 1

II ) Determinar el valor de x :
1 ) log 3 81 = x R: 4
2 ) log 5 0,2 = x R: 1
3 ) log 4 64 = ( 2 x 1 ) / 3 R: 5
4 ) log 2 16 = x 3 / 2 R: 2
5 ) log 2 x = 3 R: 1/8
6 ) log 7 x = 3 R: 343
7 ) log 6 [ 4 ( x 1 ) ] = 2 R: 10
8 ) log 8 [ 2 ( x 3 + 5 ) ] = 2 R: 3
9 ) log x 125 = 3 R: 5
10 ) log x 25 = 2 R: 1/5
11 ) log 2 x + 3 81 = 2 R: 3
12 ) x + 2 = 10 log 5 R: 3
13 ) x = 10 4 log 2 R: 16
14 ) x = log 8 / log 2 R: 3
15 ) x = log 625 / log 125 R: 4/3
16 ) log ( x + 1 ) / log ( x 1 ) = 2 R: 3
17 ) log ( x 7 ) / log ( x 1 ) = 0,5 R : 10

III ) Si log 2 = 0,301 , log 3 = 0,477 y log 7 = 0,845 , entonces :


1 ) log 8 = R : 0,903
2 ) log 9 = R: 0,954
3 ) log 5 = R: 0,699
4 ) log 54 = R: 1,732
5 ) log 75 = R: 1,875
6 ) log 0,25 = R: 0,602
7 ) log ( 1 / 6 ) = R: 0,778
8 ) log ( 1 / 98 ) = R: 1,991
9 ) log ( 1 / 36 ) = R: 1,556
10 ) log ( 2 / 3 ) = R: 0,176
11 ) log 0,3 = R: 0,523
12 ) log 1,25 = R: 0,097

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