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solve for x: x-1/log 3 (9-3 x )-3>=1

solve for x: x-1/log3(9-3x)-3>=1

Grade:11

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
x-1\geqlog3(9-3x)-3
x-1\geqlog3(9-3x)-log327
x-1\geqlog3 ((9-3x)/27)
x-1\geqlog3((3-1-3x-3))
3x-1\geq3-1-3x-3
3x\geq1-3x-2 (multiplying with 3 on both sides)
9.3x\geq9-3x (multiplying with 9 on both sides)
10.3x\geq9
3x\geq0.9
x\geqlog30.9
so X\geq-0.095
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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