Solve the following inequalities `(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0` `(iii) log_(3)(x+1)+log_(3)(x+7) ge 3` `(iv)log_(1//

Question

Solve the following inequalities `(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0` `(iii) log_(3)(x+1)+log_(3)(x+7) ge 3` `(iv)log_(1//

Solve the following inequalities
`(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0`
`(iii) log_(3)(x+1)+log_(3)(x+7) ge 3` `(iv)log_(1//2)log_(3)(x^(2)+5)+1 le 0`

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - `(i) ((1)/(3),2)` `(ii)[(1)/(2),4]` `(iii)[2,oo)` `(iv)(-oo,-2]uu[2,oo)`

5 views Answered 2023-02-05 15:29