Question

Tính:

a) \({\log _3}3\sqrt 3 ;\)                                              

b) \({\log _{\frac{1}{2}}}32.\)

Answer 1

a: \(=log_3\left(\sqrt{3}\right)^3=log_3\left(3^{\dfrac{1}{2}}\right)^3=log_3\left(3^{\dfrac{3}{2}}\right)=\dfrac{3}{2}\)

b: \(log_{\dfrac{1}{2}}32=log_{\dfrac{1}{2}}\left(\dfrac{1}{2}\right)^{-5}=-5\)