Solve the equation. \log_{3}(x-2)=\log_{3}27-\log_{3}(x-4)-5^{\log_{5}1}

Brennan Flores

Brennan Flores

Answered question

2021-09-22

Solve the equation.
log3(x2)=log327log3(x4)5log51

Answer & Explanation

unessodopunsep

unessodopunsep

Skilled2021-09-23Added 105 answers

Step 1
Given,
log3(x2)=log3(27)log3(x4)5log5(1)
solve the equation
log3(x2)+log3(x4)=log3(33)1[aloga(x)=x]
log3((x2)(x4))=3log3(3)1
log3(x26x+8)=2
x26x+8=32
x26x1=0
now solve this equation
Step 2
x26x1=0
x=3±10

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