Question

Alguém me ajuda com logaritmo, por favor!

Answer 1

a)

$3 log_{a}( {a})^{5} + log_{a}(1) - 4 log_{a}( \sqrt{a} )$

$15 log_{a}(a) + 0 - 4 log_{a}( {a})^{ \frac{1}{2} } \\ = 15 - 4. \frac{1}{2} log_{a}(a) = 15 - 2 = 13$

b)

$log_{2}( \sqrt{8}) - log_{9}( \frac{1}{3} ) + 16 log_{625}(5)$

$log_{2}( {2})^{ \frac{3}{2} } - log_{ {3}^{2} }( {3}^{ - 1} ) + 16 log_{ {5}^{4} }(5)$

$\frac{3}{2} + \frac{1}{2} + 4 = 2 + 4 = 6$

$\frac{3}{2} log_{2}(2) + \frac{1}{2} log_{3}(3) + 16. \frac{1}{4} log_{5}(5)$