Question Number 197245 by sonukgindia last updated on 11/Sep/23 Commented by mr W last updated on 26/Sep/23 $${see}\:{Q}#\mathrm{197680} \\ $$ Terms of Service Privacy Policy…
Question Number 197247 by Erico last updated on 11/Sep/23 $$\mathrm{calcul}\:\underset{\:\mathrm{0}} {\int}^{\:+\infty} \frac{{ln}\left({cht}\right)}{{sh}\left({t}\right)}{dt} \\ $$ Answered by witcher3 last updated on 11/Sep/23 $$=\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{ln}\left(\mathrm{ch}\left(\mathrm{t}\right)\right)\mathrm{sh}\left(\mathrm{t}\right)}{\mathrm{1}−\mathrm{ch}^{\mathrm{2}} \left(\mathrm{x}\right)}…
Question Number 197252 by sciencestudentW last updated on 11/Sep/23 $$\mathrm{lo}\underset{{a}} {\mathrm{g}}{x}=\mathrm{30} \\ $$$$\mathrm{lo}\underset{{b}} {\mathrm{g}}{x}=\mathrm{70} \\ $$$$\mathrm{lo}\underset{{ab}} {\mathrm{g}}{x}=?\:\:\: \\ $$ Answered by AST last updated on…
Question Number 197253 by sciencestudentW last updated on 11/Sep/23 $$\mathrm{lo}\underset{\mathrm{3}} {\mathrm{g}12}={a} \\ $$$$\mathrm{log}\underset{\mathrm{3}} {\:}\mathrm{18}=?\: \\ $$ Answered by AST last updated on 11/Sep/23 $$\frac{{log}\mathrm{3}+\mathrm{2}{log}\mathrm{2}}{{log}\mathrm{3}}={a}\Rightarrow\mathrm{2}{log}\mathrm{2}=\left({a}−\mathrm{1}\right){log}\mathrm{3} \\…
Question Number 197254 by sciencestudentW last updated on 11/Sep/23 $$\frac{\left(\mathrm{lo}\underset{\mathrm{2}} {\mathrm{g}20}\right)^{\mathrm{2}} \:−\left(\mathrm{lo}\underset{\mathrm{2}} {\mathrm{g}5}\right)^{\mathrm{2}} \:}{\mathrm{lo}\underset{\mathrm{2}} {\mathrm{g}10}\:}=? \\ $$ Answered by AST last updated on 11/Sep/23 $$=\frac{\left({log}_{\mathrm{2}}…
Question Number 197255 by sciencestudentW last updated on 11/Sep/23 $$\mathrm{log}\:\mathrm{2}={a} \\ $$$$\mathrm{log}\:\mathrm{3}={b} \\ $$$$\mathrm{log}\:\mathrm{72}=? \\ $$ Answered by AST last updated on 11/Sep/23 $${log}\left(\mathrm{9}×\mathrm{8}\right)=\mathrm{2}{log}\mathrm{3}+\mathrm{3}{log}\mathrm{2}=\mathrm{2}{b}+\mathrm{3}{a} \\…
Question Number 197248 by hardmath last updated on 11/Sep/23 $$\mathrm{a},\mathrm{b},\mathrm{c}\in\mathbb{R} \\ $$$$\frac{\mathrm{a}\:+\:\mathrm{2b}\:−\:\mathrm{3ac}}{\mathrm{3ac}}\:\:=\:\:\frac{\mathrm{a}\:+\:\mathrm{4b}\:−\:\mathrm{bc}}{\mathrm{b}} \\ $$$$\mathrm{Find}:\:\:\:\frac{\mathrm{2b}}{\mathrm{a}}\:−\:\frac{\mathrm{3a}}{\mathrm{b}} \\ $$ Commented by Frix last updated on 11/Sep/23 $$−\frac{\left({c}+\mathrm{1}\right)\left(\mathrm{3}{c}^{\mathrm{2}} −\mathrm{15}{c}+\mathrm{1}\right)}{\mathrm{2}{c}}\pm\frac{\left({c}−\mathrm{1}\right)\sqrt{\mathrm{9}{c}^{\mathrm{4}}…
Question Number 197249 by sciencestudentW last updated on 11/Sep/23 $$\mathrm{lo}\underset{\mathrm{6}} {\mathrm{g}2}={a} \\ $$$$\mathrm{lo}\underset{\mathrm{6}} {\mathrm{g}9}=?\:\: \\ $$ Answered by AST last updated on 11/Sep/23 $$\frac{{log}\mathrm{2}}{{log}\mathrm{2}+{log}\mathrm{3}}={a}\Rightarrow{log}\mathrm{2}\left(\mathrm{1}−{a}\right)={alog}\mathrm{3} \\…
Question Number 197250 by sciencestudentW last updated on 11/Sep/23 $$\mathrm{log}\:\mathrm{3}={a} \\ $$$$\mathrm{log}\:\mathrm{4}={b} \\ $$$$\mathrm{lo}\underset{\mathrm{5}} {\mathrm{g}36}=?\: \\ $$ Answered by AST last updated on 11/Sep/23 $$\frac{{log}\mathrm{3}}{{log}\mathrm{2}+{log}\mathrm{5}}={a}…
Question Number 197251 by sciencestudentW last updated on 11/Sep/23 $$\mathrm{log}\:\mathrm{2}=\mathrm{0}.\mathrm{30103} \\ $$$$\mathrm{log}\:\mathrm{125}=? \\ $$ Answered by mr W last updated on 26/Sep/23 $$\mathrm{log}\:\mathrm{2}={a} \\ $$$$\mathrm{log}\:\mathrm{125}=\mathrm{log}\:\mathrm{5}^{\mathrm{3}}…