Category: Logarithms

Question Number 8893 by j.masanja06@gmail.com last updated on 04/Nov/16 $$\mathrm{if}{\log }_{\mathrm{x}}\mathrm{a},{\log }_{\mathrm{x}}\mathrm{b},{\log }_{\mathrm{x}}\mathrm{c}\mathrm{are}\mathrm{the}\mathrm{term}\mathrm{of}\mathrm{A}.\mathrm{P}$$$$\mathrm{prove}\mathrm{that}{\mathrm{c}}^2=\left(\mathrm{ac}\right){\log }_{\mathrm{a}}\mathrm{b}$$ Commented by j.masanja06@gmail.com last updated on…

Question Number 138091 by liberty last updated on 10/Apr/21 $$If{3}^{{\left(\log {}_{3}7\right)}^x}=7^{{\left(\log {}_{7}3\right)}^x},thenthe$$$$valueofxwillbe\dots$$ Answered by mitica last updated…

Question Number 137764 by byaw last updated on 06/Apr/21 $$\mathrm{If}{\log }_{2}3=a\mathrm{and}{\log }_{3}7=b,\mathrm{express}$$$${\log }_{42}56\mathrm{in}\mathrm{terms}\mathrm{of}a\mathrm{and}b$$ Answered by EnterUsername last updated on 06/Apr/21 $${log}_{\mathrm{2}}…

Question Number 6346 by sanusihammed last updated on 24/Jun/16 Commented by prakash jain last updated on 25/Jun/16 $$\mathrm{If}a,b,c\in \mathbb{R}$$$$\mathrm{then}\mathrm{there}\mathrm{are}\mathrm{no}a,b,c\mathrm{such}\mathrm{that}$$$$\log \frac{a}{b-c}=\log \frac{b}{c-a}=\log \frac{c}{a-b}$$$${let}\:{there}\:\exists\:{a},{b},{c}\in\mathbb{R}\:\mathrm{satisfying}\:\mathrm{the}\:\mathrm{condition} \…

Question Number 5949 by sanusihammed last updated on 06/Jun/16 $$Solvesimultaneously$$$$$$$$a+b=9\dots \dots \dots \dots equation\left(i\right)$$$${log}_{2}a+{log}_{b}2=5\dots \dots \dots .equation\left(ii\right)$$$$$$$$pleasehelp.$$ Terms…