Category: Logarithms

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

Question Number 194961 by SirMUTUKU last updated on 20/Jul/23 Answered by mahdipoor last updated on 20/Jul/23 $$log225=log\left(25\times 9\right)=log\frac{100}{4}+log9=$$$$log100-log4+2log3=2-.6021+2\times .4771=$$$$2.3521$$ Terms of…

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

Question Number 193360 by MATHEMATICSAM last updated on 11/Jun/23 $$\mathrm{If}x=2^p\mathrm{and}y=4^q\mathrm{then}\mathrm{prove}\mathrm{that}$$$${\log }_2\left(x^{3}y\right)=3p+2q$$ Answered by AST last updated on 11/Jun/23…

Question Number 193253 by MATHEMATICSAM last updated on 08/Jun/23 $$\mathbf{Select}\mathbf{the}\mathbf{correct}\mathbf{option}\mathbf{with}$$$$\mathbf{explaination}:$$$$\mathrm{If}\frac{1}{3}{\log }_{3}M+{3\log }_{3}N=1+{\log }_{0.008}5\mathrm{then}$$$$\mathrm{a}.M^9=\frac{9}{N}$$$$\mathrm{b}.N^9=\frac{9}{M}$$$$\mathrm{c}.\:{M}^{\mathrm{3}}…