演習問題

次の対数不等式を解け．

${\displaystyle {log}_2(x+2)+{log}_{2}x<3}$

次の対数不等式を解け．

${\displaystyle {log}_2(x-1)+{log}_{4}2<0}$

次の対数不等式を解け．

${\displaystyle {\left({\log }_{\frac{1}{2}}x\right)}^2-{\log }_{\frac{1}{2}}x<2}$

次の対数不等式を解け

${\displaystyle {log}_{3}9\cdot {log}_{\frac{1}{3}}4\leqq {log}_{9}x\leqq {log}_{\frac{1}{3}}4+{log}_{3}2}$

次の対数不等式を解け

${\displaystyle \frac{1}{3}{log}_2{x}^3+\frac{1}{2}{log}_2\left(x^2+4x+4\right)\leqq 3}$

次の不等式を解け

${\displaystyle {\left({log}_{3}x\right)}^2-5{log}_{3}9x<-4}$