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Category: Logarithms

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…

log-2-log-3-log-2-2-x-1-lt-1-has-solution-1-a-26-lt-x-lt-b-find-a-

Question Number 81364 by jagoll last updated on 12/Feb/20 $$\mathrm{log}_{\mathrm{2}} \:\left(\mathrm{log}_{\mathrm{3}} \:\left(\mathrm{log}_{\mathrm{2}} \:\frac{\mathrm{2}}{\mathrm{x}}\right)−\mathrm{1}\right)\:<\:\mathrm{1}\: \\ $$$$\mathrm{has}\:\mathrm{solution}\:\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{26}} }<\mathrm{x}<\mathrm{b}.\:\mathrm{find}\:\mathrm{a}\:? \\ $$ Commented by john santu last updated on…