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Category: Logarithms

solve-the-inequality-3-log-x-2-5x-1-3-log-x-2-3-3x-

Question Number 101553 by bobhans last updated on 03/Jul/20 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{inequality} \\ $$$$\left(\:^{\mathrm{3}} \mathrm{log}\:{x}+\mathrm{2}\right)^{\mathrm{5}{x}+\mathrm{1}} \:\geqslant\:\left(\:^{\mathrm{3}} \mathrm{log}\:{x}\:+\mathrm{2}\right)^{\mathrm{3}−\mathrm{3}{x}} \\ $$ Answered by bramlex last updated on 03/Jul/20 $$\rightarrow\left(\mathrm{log}\:_{\mathrm{3}}…

To-sir-Tinkutara-please-sir-can-you-help-us-with-a-development-which-allows-our-maths-work-which-is-saved-to-be-converted-directly-to-a-portable-document-format-PDF-

Question Number 101447 by Rio Michael last updated on 02/Jul/20 $$\mathrm{To}\:\mathrm{sir}\:\mathrm{Tinkutara}:\:\mathrm{please}\:\mathrm{sir}\:\mathrm{can}\:\mathrm{you}\:\mathrm{help}\:\mathrm{us} \\ $$$$\mathrm{with}\:\mathrm{a}\:\mathrm{development}\:\mathrm{which}\:\mathrm{allows}\:\mathrm{our}\:\mathrm{maths}\:\mathrm{work} \\ $$$$\mathrm{which}\:\mathrm{is}\:\mathrm{saved}\:\mathrm{to}\:\mathrm{be}\:\mathrm{converted}\:\mathrm{directly}\:\mathrm{to}\:\mathrm{a}\: \\ $$$$\mathrm{portable}\:\mathrm{document}\:\mathrm{format}\left(\mathrm{PDF}\right)?\: \\ $$ Commented by Tinku Tara last updated…

Question-100720

Question Number 100720 by bemath last updated on 28/Jun/20 Commented by 1549442205 last updated on 28/Jun/20 $$ \\ $$$$\mathrm{one}\:\mathrm{other}\:\mathrm{way}:\mathrm{the}\:\mathrm{conditions}\:\mathrm{for}\:\mathrm{the} \\ $$$$\mathrm{inequality}\:\mathrm{is}\:\mathrm{defined}\:\mathrm{as}:\frac{\mathrm{x}−\mathrm{5}}{\mathrm{5}}>\mathrm{0}\Leftrightarrow\mathrm{x}>\mathrm{5} \\ $$$$\mathrm{Since}\:\mathrm{log}_{\mathrm{8}} \frac{\mathrm{x}−\mathrm{5}}{\mathrm{5}}=\mathrm{log}_{\mathrm{2}} \left(\frac{\mathrm{x}−\mathrm{5}}{\mathrm{5}}\right)^{\frac{\mathrm{1}}{\mathrm{3}}}…

If-log-2x-1-18-log-18-1-3y-log-3y-1-2x-find-3x-2y-

Question Number 100675 by bobhans last updated on 28/Jun/20 $$\mathrm{If}\:\mathrm{log}\:_{\mathrm{2x}} \left(\frac{\mathrm{1}}{\mathrm{18}}\right)\:=\:\mathrm{log}\:_{\mathrm{18}} \left(\frac{\mathrm{1}}{\mathrm{3y}}\right)\:=\:\mathrm{log}\:_{\mathrm{3y}} \left(\frac{\mathrm{1}}{\mathrm{2x}}\right) \\ $$$$\mathrm{find}\:\mathrm{3x}−\mathrm{2y}\: \\ $$ Commented by bramlex last updated on 28/Jun/20 $$\Leftrightarrow\:\mathrm{2}{x}\:=\:\mathrm{3}{y}\:=\:\mathrm{18}\:\rightarrow\begin{cases}{{x}=\mathrm{9}}\\{{y}=\mathrm{6}}\end{cases}…

find-solution-set-of-inequality-log-2-x-2-3x-1-lt-log-2-x-2-3-x-

Question Number 100666 by bobhans last updated on 28/Jun/20 $$\mathrm{find}\:\mathrm{solution}\:\mathrm{set}\:\mathrm{of}\:\mathrm{inequality} \\ $$$$\left(\mathrm{log}\:_{\mathrm{2}} {x}\:−\mathrm{2}\right)^{\mathrm{3}{x}−\mathrm{1}} \:<\:\left(\mathrm{log}\:_{\mathrm{2}} {x}−\mathrm{2}\right)^{\mathrm{3}−{x}} \\ $$ Commented by Rasheed.Sindhi last updated on 28/Jun/20 $$\left(\mathrm{log}\:_{\mathrm{2}}…