Category: Logarithms

Question Number 160426 by alf123 last updated on 29/Nov/21 Commented by mr W last updated on 29/Nov/21 $$oneequationfortwounknowns$$$$\Rightarrow nouniquesolution!$$ Commented by Rasheed.Sindhi…

Question Number 159762 by cortano last updated on 21/Nov/21 $$Given\log {}_3\left(n\right)=\log {}_6\left(m\right)=\log {}_{12}(m+n)$$$$\frac{m}{n}=?$$ Answered by bobhans last updated on 21/Nov/21 $$\:\mathrm{log}\:_{\mathrm{3}}…

Question Number 159507 by cortano last updated on 18/Nov/21 Commented by tounghoungko last updated on 18/Nov/21 $$\frac{5.5^{-2x}+5^3.5^{-2x}}{\frac{5}{8}.2^{2x}}=4$$$$\Leftrightarrow\:\mathrm{5}^{−\mathrm{2}{x}} +\mathrm{5}^{\mathrm{2}} .\mathrm{5}^{−\mathrm{2}{x}}…

Question Number 93847 by i jagooll last updated on 15/May/20 $$\log {}_5(\mathrm{x}-2)+\log {}_8(\mathrm{x}-4)=\log {}_6(\mathrm{x}-1)$$ Commented by john santu last updated on 15/May/20 $$…

Question Number 159122 by physicstutes last updated on 13/Nov/21 $$\mathrm{In}\mathrm{order}\mathrm{to}\mathrm{monitor}\mathrm{buses}\mathrm{in}\mathrm{a}\mathrm{travel}$$$$\mathrm{agency},\mathrm{the}\mathrm{manager}\mathrm{decides}\mathrm{to}\mathrm{monitor}$$$$\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{break}\mathrm{downs}\mathrm{of}\mathrm{the}\mathrm{buses}$$$$\mathrm{using}\mathrm{the}\mathrm{sequence}\left\{x_n\right\}\mathrm{defined}\mathrm{by}$$$$x_{n+1}=1.05x_n+4.\mathrm{Given}\mathrm{that}{x}_0=40.$$$$\mathrm{is}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{break}\:\mathrm{downs}\:\mathrm{by}\:\mathrm{the}\:\mathrm{buses} \…