Question

Ex 15 si 16
Logaritmi (rezolvati cat puteti) ​

Answer 1

$15.a) {3}^{ log_{ {3}^{2} }(5) } - { \sqrt{5} }^{ log_{4}( {4}^{2} ) } = \\ = {3}^{ \frac{1}{2} \times log_{3}(5) } - { \sqrt{5} }^{2} \\ = {3}^{ log_{3}( {5}^{ \frac{1}{2} } ) } - 5 \\ = {5}^{ \frac{1}{2} } - 5 \\ = \sqrt{5} - 5$

$16.b) \frac{1}{ log_{2}(7) } + \frac{1}{ log_{24}(7) } < 2 \\ log_{7}(2) + log_{7}(24) < 2 \\ log_{7}(48) < 2 \\ 48 < {7}^{2} \\ 48 < 49adevarat$