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Please help me with this 17th Question, Please please please please

Please help me with this 17th Question, Please please please please 

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Grade:11

1 Answers

Shubhang Kulkarni
33 Points
one year ago
log1/3 (x+1) > log3 (2-x)
log3-1 (x+1) > log3 (2-x)
-log3 (x+1) > log3 (2-x)
log3 (2-x) + log3 (x+1)
log3 (2-x)(x+1)
 
On simplifying the factors and removing log by transposing base of the log to the RHS: 
 
-x2+x+1
x2-x-1 > 0
[x-(1-51/2)/2] [x-(1+51/2)/2] > 0
 
On Solving the inequality using wavy-curve method: 
x belongs to: 
(-infinity, (x-(1-51/2))/2) ))/2, +infinity) 1/2x-(1+5 ((
 
Thank you, hope the solution helps. 
 

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