Page 1 of 2

Exercice 32

(a) log(15) − log(3) = log

15

3

= log(5)

(b)

3 ln(x ) − 2 ln(y) = ln(x

3

) − ln(y

2

)

= ln

x

3

y

2

(c)

2 log2

(x ) − 4 log2

1

y

− 3 log2

(x y)

= log2

(x

2

) + log2

(y

4

) + log2

(x

−3

y

−3

)

= log2

(x

2

· y

4

· x

−3

· y

−3

)

= log2

(x

−1

y)

= log2

y

x

Page 2 of 2

Exercice 32 (suite..)

(d) log3

(2a) − log3

(2) = log3

(2a/2) = log3

(a)