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Category: Logarithms

x-2-log-5-x-x-5x-4-log-x-5-x-

Question Number 83786 by jagoll last updated on 06/Mar/20 $$\frac{{x}^{\mathrm{2}} }{\mathrm{log}_{\left(\mathrm{5}−{x}\right)} \:\left({x}\right)}\:\leqslant\:\left(\mathrm{5}{x}−\mathrm{4}\right)\:\mathrm{log}_{{x}} \:\left(\mathrm{5}−{x}\right)\: \\ $$ Answered by john santu last updated on 06/Mar/20 $${x}^{\mathrm{2}} \:\mathrm{log}_{{x}}…

Given-2-log-3-x-1-log-3-x-3-8-gt-0-have-the-solution-a-x-lt-b-what-is-b-

Question Number 83774 by jagoll last updated on 06/Mar/20 $$\mathrm{Given}\:\mathrm{2}\sqrt{\mathrm{log}_{\mathrm{3}} \:{x}−\mathrm{1}}\:−\:\mathrm{log}_{\mathrm{3}} \:{x}^{\mathrm{3}} \:+\mathrm{8}\:>\:\mathrm{0} \\ $$$${have}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{a}\:\leqslant\:{x}\:<\:{b}.\: \\ $$$${what}\:{is}\:{b}\:?\: \\ $$ Answered by john santu last updated…

Question-18153

Question Number 18153 by aplus last updated on 16/Jul/17 Commented by prakash jain last updated on 16/Jul/17 $$\mathrm{4}^{\mathrm{2}{x}} =\mathrm{2}×\mathrm{500}^{\mathrm{500}} \\ $$$$\mathrm{2}{x}\mathrm{log}\:\mathrm{4}=\mathrm{log}\:\mathrm{2}+\mathrm{500log}\:\mathrm{500} \\ $$$$\mathrm{3}=\frac{\mathrm{log}\:\mathrm{2}+\mathrm{500log}\:\mathrm{500}}{\mathrm{2log}\:\mathrm{4}}\approx\mathrm{1120}.\mathrm{973} \\ $$…

The-first-term-of-an-A-P-is-log-a-and-second-term-is-log-b-show-that-the-sum-of-first-n-terms-in-1-2-log-b-n-n-1-a-n-3-

Question Number 18022 by ibraheem160 last updated on 13/Jul/17 $${The}\:{first}\:{term}\:{of}\:{an}\:{A}.{P}\:\:{is}\:{log}^{{a}} \:{and}\:{second}\:{term}\:{is}\: \\ $$$${log}^{{b}} .{show}\:{that}\:{the}\:{sum}\:{of}\:{first}\:{n}\:{terms}\:{in}\: \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{log}\left[\frac{{b}^{{n}\left({n}−\mathrm{1}\right)} }{{a}^{{n}\left(−\mathrm{3}\right)} }\right] \\ $$ Answered by prakash jain last…

3-2-2-2008-7-5-2-1338-3-2-2-log-2-x-x-

Question Number 148494 by liberty last updated on 28/Jul/21 $$\:\:\:\frac{\left(\mathrm{3}+\mathrm{2}\sqrt{\mathrm{2}}\right)^{\mathrm{2008}} }{\left(\mathrm{7}+\mathrm{5}\sqrt{\mathrm{2}}\right)^{\mathrm{1338}} }\:+\:\left(\mathrm{3}−\mathrm{2}\sqrt{\mathrm{2}}\right)\:=\:\mathrm{log}\:_{\mathrm{2}} \left(\mathrm{x}\right) \\ $$$$\:\mathrm{x}=?\: \\ $$ Answered by EDWIN88 last updated on 28/Jul/21 $$\:\mathrm{log}\:_{\mathrm{2}}…