a) \(log_3\dfrac{6}{5}>log_3\dfrac{5}{6}\) vì \(\dfrac{6}{5}>\dfrac{5}{6}\)

b) \(log_{\dfrac{1}{3}}9>log_{\dfrac{1}{3}}17\) vì \(9>17\) và \(0< \dfrac{1}{3}< 1\).

c) \(log_{\dfrac{1}{2}}e>log_{\dfrac{1}{2}}\pi\) vì \(e>\pi\) và \(0< \dfrac{1}{2}< 1\)

d) \(log_2\dfrac{\sqrt{5}}{2}>log_2\dfrac{\sqrt{3}}{2}\)  vì \(\dfrac{\sqrt{5}}{2}>\dfrac{\sqrt{3}}{2}\).

mình chịu

Chất lỏng trong eclen là chất lỏng

A. Nặng hơn chất lỏng ở phễu chiết

B. Nhẹ hơn chất lỏng ở phễu chiết

C. Hỗn hợp cả hai chất

D. Dung môi

\(\dfrac{48}{25}\cdot\dfrac{27}{55}+2\dfrac{4}{9}\cdot\dfrac{14}{33}\)

\(=\dfrac{1296}{1375}+\dfrac{22}{9}\cdot\dfrac{14}{33}\\ =\dfrac{1296}{1375}+\dfrac{28}{27}\\ =\dfrac{34992}{37125}+\dfrac{38500}{37125}\\ =\dfrac{73492}{37125}\)

\(1\dfrac{19}{22}\cdot\left(\dfrac{47}{77}-\dfrac{16}{15}\right)\\ =\dfrac{41}{22}\cdot\dfrac{-527}{1155}\\ =\dfrac{-21607}{25410}\)

\(\left(3\dfrac{10}{99}+4\dfrac{11}{99}-5\dfrac{8}{299}\right)-\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\\ =\left(\dfrac{307}{99}+\dfrac{37}{99}-\dfrac{1503}{299}\right)-0\\ =\dfrac{344}{99}-\dfrac{1053}{299}\\ =-\dfrac{107}{2277}\)

\(\dfrac{-2}{3}\cdot\left(x-\dfrac{1}{4}\right)=\dfrac{1}{3}\left(2x-1\right)\)

\(-\dfrac{2}{3}x+\dfrac{1}{6}=\dfrac{2}{3}x-\dfrac{1}{3}\\ -\dfrac{2}{3}x+\dfrac{1}{6}-\dfrac{2}{3}x+\dfrac{1}{3}=0\)

\(-\dfrac{4}{3}x+\dfrac{1}{2}=0\\ -\dfrac{4}{3}x=-\dfrac{1}{2}\\ x=\dfrac{3}{8}\)

\(\dfrac{1}{5}2^x+\dfrac{1}{3}2^{x+1}=\dfrac{1}{5}2^7+\dfrac{1}{3}2^8\)

\(\dfrac{1}{5}2^x+\dfrac{1}{3}2^x\cdot2=\dfrac{1}{5}2^7+\dfrac{1}{3}2^7\cdot2\)

\(2^x\left(\dfrac{1}{5}+\dfrac{1}{3}\cdot2\right)=2^7\left(\dfrac{1}{5}+\dfrac{1}{3}\cdot2\right)\)

\(2^x=2^7\\ x=7\)