a)
log(3)³✓3 • 27=
=log(3)³✓3 + log(3)27=
[tex] = log_{3}({3}^{ \frac{1}{3} } ) + log_{3}( {3}^{3} ) = \\ = \frac{1}{ 3} \times log_{3}(3) + 3 \times log_{3}(3) = \\ = \frac{1}{3} \times 1 + 3 \times 1 = \\ = \frac{1}{3} + 3 = \frac{4}{3} [/tex]
b) log(1/3)✓125=log(3^-1)✓5³=
=log(3^-1)5^3/2=
=3/2/-1 log(3)5= -3/2log(3)5
^ semn pt ridicarea la putere
