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Category: Logarithms

if-log-x-a-log-x-b-log-x-c-are-the-term-of-A-P-prove-that-c-2-ac-log-a-b-

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

If-log-2-3-a-and-log-3-7-b-express-log-42-56-in-terms-of-a-and-b-

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

If-9log-a-5-log-5-a-find-the-value-of-a-SOLUTION-9log-a-5-log-5-a-Using-the-law-of-logarithm-log-b-a-1-log-a-b-so-

Question Number 6373 by sanusihammed last updated on 25/Jun/16 $${If}\:\:\:\:\mathrm{9}{log}_{{a}} ^{\mathrm{5}} \:\:=\:\:{log}_{\mathrm{5}} ^{{a}} \\ $$$${find}\:{the}\:{value}\:{of}\:{a}\: \\ $$$$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{SOLUTION} \\ $$$$ \\ $$$$\mathrm{9}{log}_{{a}} ^{\mathrm{5}} \:\:=\:\:{log}_{\mathrm{5}}…

Question-6346

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