Inecuaciones Logarítmicas

log3 (x 2−1) < log3 (2x+2). x > 1. −1< x < 3. 1 < x < 3. x < −1.

log5 (x+1) > log5 (4). x > -1. −8x< x <5. -11 > x > 3. x > 1.

log0.2 (x−3) ≥ −1. 3 < x ≤ 8. x > 3. x ≤ 3.2. x < 9.

log (x 2) + log (x) <3. x < 10. 10 < x. 0 < x < 10. x > 0.

log4 (x+2) − log4 (x−1) < 1. 3 > x > 12. x > 2. 0 > x < 2. 1 < x < 2.

log3 (x2 − 4x + 3) < 1. (0,1) ∪ (3,4). x > 3. 9 < x < 7. 0 < x < 4.

log2 (x+1) + log2 (x−1 ) ≤ 3. −3 ≤ x ≤ 3. -5 < x < 2. 1 < x ≤ 3. 3 > x.

log3 (x+6) − log3 (x−2) < 1. −3 ≤ x ≤ 3. 6 > x > 2. x < 2. x > 6.

log0.25 (3x − 2) > − 2. 2/3 < x < 6. x < 6. x > 6. x > 2/3.

log5 (x−1 )+ log5 (x+3) ≤ 1. 3/5 ≤ x < 6. −4 ≤ x ≤ 2. x ≥ 2. ( 1;2 ].

log5 (x 2−4) < log5 (3x). 2 < x < 4. x > 2. x < 4. −1< x < 4.

2 ⋅ log(x−2) ≥ log(x+10). 2 < x < 4. x ≥ 6. x > 2. −1 < x < 6.

log3 (x) + log3 (x−8) ≤ 2. −1 ≤ x ≤ 9. −1 ≤ x ≤ 9. x > 8. ( 8;9 ].

log2 (x+3) − log2 (x−5) < 3. x > 43/7. x > 5. x > -5. x ≤ 43/7.

2 ⋅ log3 (x−1) ≤ log3 (x+5). ( 1;4 ]. x ≥ 4. 4 > x 1. x > 1.

log1/3 (2x−4) > −2. x > 6.5. 5 > x > 6. ( 2; 6.5 ). x < 2.

log4 (x−1) + log4 (x−1) <1. −1 < x < 3. (1;3). 3 < x < 1. x < 3.

log5 (x+10) − log5 (x−2) > 1. x > 5. 5 < x < 2. x > 2. ( 2;5 ).

log(x2 − 15x ) ≥ 2. [−5,0) ∪ (15,20]. 20 > x > 15. −5 < x < 20. x ≤ -5.

log2 (x+3) < 4. x > −3. x < 13. (−3;13). x ≥ 13.