Question

3) calcule?
4) Dados log a = 5, log b = 3 e log c= 2, calcule
5) Sendo log, 2 =a , log, 3 = b calcule
log, V12
6) Sendo log. 2 = 20. log.5 = 30 calcule
log, 100

Por favor me ajude:(

Answer 1

Explicação passo-a-passo:

3 ) a) log2^2-3 = ( - 3 ) . log ( 2 )² = - 3 . 1 = - 3

b) log7 √7 = x

7x = √7¹

7x = 7½

x = 1

2

c) use a propriedade:

ª logª^b = b

5 log^57 = 7

d) 2 ( log^27 + log²³ ) = 2 ( log²^7.3 ) = 2 log2²¹ = 21

e) 2 ( 2 + 2 log^25 ) = 2² . 2 ( 2 log^25 ) = 2² . 2 ( log2^5² ) = 2² . 5² = 4 . 25 = 100

4 ) log ab²

c

logab² - logc

loga + logb² - logc

loga + 2 logb - logc

5 + 2 ( 3 ) - 2 = 5 + 6 - 2 = 9

5 ) logx ³√12

logx 12⅓

1 . logx 12

3

1 . logx ( 2 . 2 . 3 )

3

1 . ( logx 2 + logx 2 + logx 3 )

3

como:

logx2 = a

logx 3 = b

6 ) loga 100 = loga 2² . 5²

loga 100 = loga 2² + loga 5²

loga 100 = 2 . loga 2² + 2 . loga 5

Agora susbstitua os valores da log a ( 2 ) = 20 e log a ( 5 ) = 30.

loga 100 = 2 . 20 + 2 . 30

loga 100 = 40 + 60

loga 100 = 100

Att: Itachi Uchiha ✙