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Category: Logarithms

calculer-lim-x-pi-n-1-sin-n-1-x-n-1-sin-n-1-x-sinx-sin-nx-

Question Number 195278 by Erico last updated on 28/Jul/23 $$\mathrm{calculer}\:\underset{\mathrm{x}\rightarrow\pi} {\mathrm{lim}}\frac{\left(\mathrm{n}+\mathrm{1}\right)\mathrm{sin}\left(\left(\mathrm{n}−\mathrm{1}\right)\mathrm{x}\right)−\left(\mathrm{n}−\mathrm{1}\right)\mathrm{sin}\left(\left(\mathrm{n}+\mathrm{1}\right)\mathrm{x}\right)}{\mathrm{sinx}\:\mathrm{sin}\left(\mathrm{nx}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-194961

Question Number 194961 by SirMUTUKU last updated on 20/Jul/23 Answered by mahdipoor last updated on 20/Jul/23 $${log}\mathrm{225}={log}\left(\mathrm{25}×\mathrm{9}\right)={log}\frac{\mathrm{100}}{\mathrm{4}}+{log}\mathrm{9}= \\ $$$${log}\mathrm{100}−{log}\mathrm{4}+\mathrm{2}{log}\mathrm{3}=\mathrm{2}−.\mathrm{6021}+\mathrm{2}×.\mathrm{4771}= \\ $$$$\mathrm{2}.\mathrm{3521} \\ $$ Terms of…

Question-194613

Question Number 194613 by cortano12 last updated on 11/Jul/23 $$\:\:\:\:\:\:\cancel{\underline{ }} \\ $$ Answered by MM42 last updated on 11/Jul/23 $$\frac{\mathrm{1}}{{log}_{{x}} \mathrm{4}{x}}+\frac{\mathrm{1}}{{log}_{{x}} \frac{{x}}{\mathrm{2}}}=\mathrm{2} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}{log}_{{x}}…

Question-194165

Question Number 194165 by pascal889 last updated on 29/Jun/23 Answered by qaz last updated on 29/Jun/23 $${log}_{\mathrm{2}} \mathrm{4096}+\left[\mathrm{4}\left({log}_{\mathrm{2}} {x}\right)^{\mathrm{3}} −\mathrm{16}{log}_{\mathrm{2}} {x}\right]{log}_{\mathrm{2}} {x}=\mathrm{0} \\ $$$${log}_{\mathrm{2}} {x}={y}\:\:\:\:,\mathrm{12}+\mathrm{4}{y}^{\mathrm{4}}…

Find-the-value-of-x-from-the-following-equations-4-x-y-y-x-32-log-3-x-y-log-3-x-y-1-

Question Number 193295 by MATHEMATICSAM last updated on 09/Jun/23 $$\boldsymbol{\mathrm{Find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{{x}}\:\boldsymbol{\mathrm{from}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{following}} \\ $$$$\boldsymbol{\mathrm{equations}}: \\ $$$$\mathrm{4}^{\frac{{x}}{{y}}\:+\:\frac{{y}}{{x}}} \:=\:\mathrm{32} \\ $$$$\mathrm{log}_{\mathrm{3}} \left({x}\:−\:{y}\right)\:+\:\mathrm{log}_{\mathrm{3}} \left({x}\:+\:{y}\right)\:=\:\mathrm{1} \\ $$ Answered by BaliramKumar last…

Select-the-correct-option-with-explaination-If-1-3-log-3-M-3log-3-N-1-log-0-008-5-then-a-M-9-9-N-b-N-9-9-M-c-M-3-3-N-d-N-3-3-M-

Question Number 193253 by MATHEMATICSAM last updated on 08/Jun/23 $$\boldsymbol{\mathrm{Select}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{correct}}\:\boldsymbol{\mathrm{option}}\:\boldsymbol{\mathrm{with}}\: \\ $$$$\boldsymbol{\mathrm{explaination}}: \\ $$$$\mathrm{If}\:\frac{\mathrm{1}}{\mathrm{3}}\mathrm{log}_{\mathrm{3}} {M}\:+\:\mathrm{3log}_{\mathrm{3}} {N}\:=\:\mathrm{1}\:+\:\mathrm{log}_{\mathrm{0}.\mathrm{008}} \mathrm{5}\:\mathrm{then} \\ $$$$\mathrm{a}.\:{M}^{\mathrm{9}} \:=\:\frac{\mathrm{9}}{{N}} \\ $$$$\mathrm{b}.\:{N}^{\mathrm{9}} \:=\:\frac{\mathrm{9}}{{M}} \\ $$$$\mathrm{c}.\:{M}^{\mathrm{3}}…