Logarithmic equation solution, Exercises of Calculus

Interesting logarithmic equation solution

Typology: Exercises

2017/2018

Uploaded on 02/13/2018

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

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Find the value of x which satisfy : log gVxtlog,x+log,x? +loggx* +log 14x" = 40 Solution: 1 fp OG y2x tog, 2x+2log, xt Slog, psxt4log, - ax = 40 1 1 2 3 4 + + es = = 2log v2 2log V2 Alog V2 6log V2 Blog V2 1 1 Thus, 40 1 1 1 . = + ats + = 40 log,2 tog,2 tlog,2 tlog,2 tog,2 5 Hence, = 40 > 40log 2=5 log 2 af 1 As a consequence,log,2 = a => 2=x8 => 2° = x = 256 MR.OSAMA A.A. ALSATTARI