演習問題

次の式を簡単にせよ．

${\displaystyle {log}_{6}18+{log}_{6}12}$

次の式を簡単にせよ．

${\displaystyle {\text{log}}_{\text{2}}81·{\text{log}}_{\text{3}}2}$

次の式を簡単にせよ．

${\displaystyle {log}_9\sqrt[\text{4}]{\text{3}}+{log}_{\frac{1}{3}}9}$

次の式を簡単にせよ．

${\displaystyle {log}_{2}64÷{log}_{3}27}$

次の式を簡単にせよ．

${\displaystyle log{e}^2+log\frac{1}{e}+log\frac{1}{\sqrt{e}}}$

次の式を簡単にせよ．

${\displaystyle {log}_{8}125-{log}_{4}10-{log}_2\left(\frac{1}{\sqrt{10}}\right)}$

次の式を簡単にせよ

${\displaystyle {log}_{\sqrt{3}}8+{log}_{2}3{log}_{9}4+{log}_{\frac{1}{3}}16}$

次の式を簡単にせよ

${\displaystyle \frac{{log}_{2}9+{log}_{2}3}{3}+\frac{2{log}_{2}5+{log}_{2}125}{1-{log}_{2}10}}$

次の不等式を解け

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