Réponse :

bonjour

Explications étape par étape :

41

a)

log(a^3) = 3 log(a)

b)

log(a^5) -log(a²)

=log(a^3) = 3log (a)

c)

log(a^-3) +log(a²)

=log(a^-1)

= -log(a)

d)

log(10a^5) = log10 +log(a^5)

= 1 +5log(a)

exo 42

a)

= - log(a)

b)

log( 1/a²) =  - log a² = - 2 log (a)

c)

=log( a ^(5 -2)) = log(a^3) =3 log(a)

d)

= log(10/a) = 1-log(a)

43

a)

log(20) = 2 log(2) +log(5)

b)

log (40 ) = log (2^3 * 5)

=3log(2) +log(5)

c)

log(200)

=log( 2^3*5^2)

= 3log(2) + 2log(5)

d)

log(250)

= log( 5^3*2)

=3log(5) +log(2)