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If log_0.3 (x – 1) < log_0.09 (x – 1), then x lies in the interval

1) (2, ∞) 2) (1, 2) 3) (-2, -1) 4) None of these Solution: (1) (2, ∞) log0.3 (x –... View Article

1) loga (abc) 2) loga (bcd) 3) logb (cda) 4) logc (dab) Solution: (2) loga (bcd) ax = by =... View Article

1) a = b 2) a = b / 2 3) 2a = b 4) a = b / 3... View Article

1) y 2) y2 3) y3 4) None of these Solution: (3) y3 y = 21/[log_x(8)] y = 2log (8^x)... View Article

1) 0 2) e 3) 1 4) 2 5) 3 Solution: (3) 1 (logb a . logc a – loga... View Article

1) 2(a + b) 2) 2(a + b + 1) 3) 2(a + b + 2) 4) a + b... View Article

1) log7 35 2) 5 3) 25 4) log7 25 Solution: (3) 25 72log7(5) = 7 log7 52 = 52... View Article

1) 9 2) 81 3) 1 4) 27 Solution: (1) 9 log3 x + log3 (√x) + log3 (∜x) +... View Article

1) [2ac + 1] / [2c + abc + 1] 2) [2ac + 1] / [2a + c + a]... View Article

1) 10 2) 2 3) – 0.01 4) none of these Solution: (4) none of these 2 log10 x –... View Article

1) 3 2) 1 3) 2 4) 0 Solution: (2) 1 log4 (x – 1) = log2 (x – 3)... View Article

1) 32 2) 125 3) 625 4) 25 Solution: (1) 32 log5 log5 log2 x = 0 log5 log5 log2... View Article

1) 5 2) 6 3) 7 4) 8 5) 10 Solution: (4) 8 log2 20 . log2 80 – log2... View Article

1) positive 2) real 3) negative 4) none of these Solution: (2) real (x – b) (x – c) +... View Article

1) 1 2) log2 (105) 3) log2 (9 / 80) 4) log2 (8 / 9) Solution: (1) 1 7 log2... View Article

1) x + y + z 2) 1 3) ab + bc + ca 4) abc Solution: (2) 1 x... View Article

1) [4 loge 3] / [loge 7 – loge 6] 2) [4 loge 3] / [loge 6 – loge 7]... View Article

1) 3.0037 2) 3.037 3) 3.0086 4) 3.37 Solution: (2) 3.037 Let x = ∛28 log x = (1 /... View Article

1) 1 2) 6 3) 2/3 4) 3 Solution: (4) 3 [log3 5 × log25 27 × log49 7] /... View Article

1) 2 2) – 1 3) 1/2 4) 1 Solution: (4) 1 (logc+b a + logc-b a) / (2 logc+b... View Article