Category: Logarithms

Question Number 18365 by aplus last updated on 19/Jul/17 Answered by mrW1 last updated on 19/Jul/17 $$\mathrm{x}=6$$$$\mathrm{y}=2$$ Commented by mrW1 last…

Question Number 83774 by jagoll last updated on 06/Mar/20 $$\mathrm{Given}2\sqrt{{\log }_{3}x-1}-{\log }_3{x}^3+8>0$$$$have\mathrm{the}\mathrm{solution}\mathrm{a}⩽x<b.$$$$whatisb?$$ Answered by john santu last updated…

Question Number 18153 by aplus last updated on 16/Jul/17 Commented by prakash jain last updated on 16/Jul/17 $$4^{2x}=2\times {500}^{500}$$$$2x\log 4=\log 2+500\log 500$$$$3=\frac{\log 2+500\log 500}{2\log 4}\approx 1120.973$$…

Question Number 18022 by ibraheem160 last updated on 13/Jul/17 $$ThefirsttermofanA.Pis{log}^{a}andsecondtermis$$$${log}^b.showthatthesumoffirstntermsin$$$$\frac{1}{2}log\left[\frac{b^{n(n-1)}}{a^{n(-3)}}\right]$$ Answered by prakash jain last…

Question Number 148494 by liberty last updated on 28/Jul/21 $$\frac{{(3+2\sqrt{2})}^{2008}}{{(7+5\sqrt{2})}^{1338}}+(3-2\sqrt{2})=\log {}_2\left(\mathrm{x}\right)$$$$\mathrm{x}=?$$ Answered by EDWIN88 last updated on 28/Jul/21 $$\:\mathrm{log}\:_{\mathrm{2}}…