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Category: Logarithms

Solve-the-equation-log-2-x-log-3-x-log-5-x-log-2-x-log-3-x-log-3-x-log-5-x-log-5-x-log-2-x-

Question Number 17386 by ajfour last updated on 05/Jul/17 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\mathrm{log}\:_{\mathrm{2}} \mathrm{x}\:\mathrm{log}\:_{\mathrm{3}} \mathrm{x}\:\mathrm{log}\:_{\mathrm{5}} \mathrm{x}=\mathrm{log}\:_{\mathrm{2}} \mathrm{x}\:\mathrm{log}\:_{\mathrm{3}} \mathrm{x} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+\mathrm{log}\:_{\mathrm{3}} \mathrm{x}\:\mathrm{log}\:_{\mathrm{5}} \mathrm{x} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+\mathrm{log}\:_{\mathrm{5}} \mathrm{x}\:\mathrm{log}\:_{\mathrm{2}} \mathrm{x}\:.…

calculer-la-differentielle-de-y-log-x-teste-sachant-que-log-35-1-54407-calculer-log-3501-NB-on-rappelle-que-1-log-10-log-e-0-43429-

Question Number 148312 by puissant last updated on 27/Jul/21 $${calculer}\:{la}\:{differentielle}\:{de}\: \\ $$$${y}={log}\left({x}\right) \\ $$$${teste}:\:{sachant}\:{que}\:{log}\left(\mathrm{35}\right)=\mathrm{1},\mathrm{54407}, \\ $$$${calculer}\:{log}\left(\mathrm{3501}\right) \\ $$$${NB}:\:{on}\:{rappelle}\:{que}\:\frac{\mathrm{1}}{{log}\left(\mathrm{10}\right)}={log}\left({e}\right)=\mathrm{0},\mathrm{43429}.. \\ $$ Answered by Olaf_Thorendsen last updated…

Question-148257

Question Number 148257 by liberty last updated on 26/Jul/21 Answered by Olaf_Thorendsen last updated on 26/Jul/21 $$\left(\mathrm{2}^{{x}} −\mathrm{4}\right)^{\mathrm{3}} +\left(\mathrm{4}^{{x}} −\mathrm{2}\right)^{\mathrm{3}} \:=\:\left(\mathrm{4}^{{x}} +\mathrm{2}^{{x}} −\mathrm{6}\right)^{\mathrm{3}} \\ $$$$\mathrm{Let}\:{u}\:=\:\mathrm{2}^{{x}}…

Question-148242

Question Number 148242 by puissant last updated on 26/Jul/21 Answered by Jonathanwaweh last updated on 26/Jul/21 $${soit}\:\:{Aappartenant}\:{a}\:\varepsilon\:{on}\:{a}\:{got}\left({A}\right)={g}\left(\overset{\rightarrow} {{A}}+\overset{\rightarrow} {{V}}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:={g}\left({A}\overset{\rightarrow} {\right)}+{g}\left({V}\overset{\rightarrow} {\right)} \\ $$$$\:\:\:\:\:\:\:\:\:\:{de}\:{meme}\:{tog}\left({A}\right)=\overset{\rightarrow}…

5-log-x-x-log-2-find-x-

Question Number 16973 by tawa tawa last updated on 29/Jun/17 $$\mathrm{5}^{\mathrm{log}\left(\mathrm{x}\right)} \:=\:\mathrm{x}^{\mathrm{log}\left(\mathrm{2}\right)} ,\:\:\:\:\:\mathrm{find}\:\:\mathrm{x}. \\ $$ Answered by mrW1 last updated on 29/Jun/17 $$\mathrm{log}\:\left(\mathrm{x}\right)\:\mathrm{log}\:\left(\mathrm{5}\right)=\mathrm{log}\:\left(\mathrm{2}\right)\:\mathrm{log}\:\left(\mathrm{x}\right) \\ $$$$\mathrm{log}\:\left(\mathrm{x}\right)\left[\:\mathrm{log}\:\left(\mathrm{5}\right)−\mathrm{log}\:\left(\mathrm{2}\right)\right]=\mathrm{0}…

log-3-2x-x-2-sin-x-3-cos-x-sin-3x-1-log-2-3-2x-x-2-

Question Number 82066 by john santu last updated on 18/Feb/20 $$\mathrm{log}_{\mathrm{3}+\mathrm{2}{x}−{x}^{\mathrm{2}} } \:\left(\frac{\mathrm{sin}\:{x}+\sqrt{\mathrm{3}}\mathrm{cos}\:{x}}{\mathrm{sin}\:\mathrm{3}{x}}\right)\:=\:\frac{\mathrm{1}}{\mathrm{log}_{\mathrm{2}} \left(\mathrm{3}+\mathrm{2}{x}−{x}^{\mathrm{2}} \right)}\: \\ $$ Commented by john santu last updated on 18/Feb/20…