Category: Logarithms

Question Number 54875 by shaddie last updated on 13/Feb/19 $$\mathrm{Given}\mathrm{that}\frac{\log {(3\mathrm{x}+1)}^{2\mathrm{x}-1}}{\log (3\mathrm{x}+1)}=5,\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{x}.$$ Answered by kaivan.ahmadi last updated on 14/Feb/19 $$\log {(3\mathrm{x}+1)}^{2\mathrm{x}-1}=\log {(3\mathrm{x}+1)}^5\Rightarrow$$$$\left(\mathrm{3x}+\mathrm{1}\right)^{\mathrm{2x}−\mathrm{1}}…

Question Number 120120 by benjo_mathlover last updated on 29/Oct/20 $$\{\begin{array}{l}\log {}_a\left(x\right)=8\\ \log {}_b\left(x\right)=3\\ \log {}_c\left(x\right)=6\end{array}\Rightarrow \log {}_{abc}\left(x\right)=?$$ Answered by bemath last updated on 29/Oct/20 $$\begin{cases}{\mathrm{log}\:_{{a}} \left({x}\right)=\mathrm{8}\Rightarrow\mathrm{log}\:_{{x}}…

Question Number 53675 by pieroo last updated on 24/Jan/19 $$\mathrm{Given}\mathrm{that}1+{\log }_3\mathrm{x}={\log }_{27}\mathrm{y},\mathrm{express}\mathrm{y}$$$$\mathrm{in}\mathrm{terms}\mathrm{of}\mathrm{x}.$$ Answered by kaivan.ahmadi last updated on 24/Jan/19 $$\mathrm{log}_{\mathrm{3}} \mathrm{3}+\mathrm{log}_{\mathrm{3}}…

Question Number 52392 by Joel578 last updated on 07/Jan/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 117826 by snipers237 last updated on 13/Oct/20 $$ProvethattheEulerConstantisqlsoequalto$$$$\underset{x\to -1}{\lim }\mathrm{\Gamma }\left(x\right)-\frac{1}{x(x+1)}$$ Answered by mnjuly1970 last updated on 14/Oct/20 $$solution::$$$$\:{lim}_{{x}\rightarrow−\mathrm{1}}…