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Logarithmic equations system, Exams of Mathematics

Al-Aqsa UniversityMathematics

Logarithmic equations system with two variables

Typology: Exams

2016/2017

Uploaded on 10/18/2017

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

4.6

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Solve the following system of equations: log, x + log, y = 7 (1), xy = 243 ...(2) Solution: 1 17 1 17 3 From (1)log, x + = ye CBS Fug by assuming log, x = Zz 1 1 Hence,z’——-z+1=O0>z2=40rz=7 log,x 4 4 Therefore,when logyx =4 >x= y' subistitute in (1)we obtain y® = 243 Ny=3,x= 81 1 As well as,when log, x = 4 => y = x' subistitute in (1)we obtain x = 243 fx=3,y=81 MR.OSAMA ABDULFATTAH ALSATTARI