Category: Logarithms

Question Number 153950 by liberty last updated on 12/Sep/21 Answered by EDWIN88 last updated on 13/Sep/21 $$\log {}_{\mid x-\frac{7}{4}\mid }\left(\log {}_{\frac{1}{2}}x\right)⩽0$$$$\Rightarrow\mathrm{log}\:_{\mid{x}−\frac{\mathrm{7}}{\mathrm{4}}\mid} \left(\mathrm{log}\:_{\frac{\mathrm{1}}{\mathrm{2}}} {x}\right)\:\leqslant\:\mathrm{log}\:_{\mid{x}−\frac{\mathrm{7}}{\mathrm{4}}\mid} \left(\mathrm{1}\right) \…

Question Number 153681 by EDWIN88 last updated on 09/Sep/21 $${24}^{\log {}_{10}\left(x\right)}-{26}^{\log {}_{10}\left(x\right)}=1$$$$x=?$$ Answered by MJS_new last updated on 09/Sep/21…

Question Number 87773 by john santu last updated on 06/Apr/20 $${}^3\log \left({}^{{\mathrm{x}}^2}\log \left({}^{{\mathrm{x}}^2}\log {\mathrm{x}}^4\right)\right)>0$$ Commented by john santu last updated…

Question Number 153109 by peter frank last updated on 04/Sep/21 $$\int \frac{\mathrm{dx}}{{\mathrm{x}}^2+2\mathrm{x}+2\sqrt{{\mathrm{x}}^2+2\mathrm{x}-4}}$$ Commented by MJS_new last updated on 05/Sep/21 $$\mathrm{the}\mathrm{path}\mathrm{is}\mathrm{clear}\mathrm{but}\mathrm{the}\mathrm{constants}\mathrm{are}\mathrm{weird}$$$${t}=\frac{{x}+\mathrm{1}+\sqrt{{x}^{\mathrm{2}}…

Question Number 87194 by john santu last updated on 03/Apr/20 $$\mathrm{find}\mathrm{the}\mathrm{solution}\mathrm{of}$$$$\frac{\mid {\log }_2\left(\mathrm{x}\right)+2\mid }{\mathrm{x}-3}<2$$ Commented by TANMAY PANACEA. last updated on 03/Apr/20 $${is}\:{it}\:\left(\mathrm{2}+{log}_{\mathrm{2}}…