Quants Logarithm :A

Question 1
log xY = 100 and log x2 = 10, then the value of y is
A
2^10
B
2^1000
C
2^100
D
2^10000
Question 1 Explanation: 
log 2 x = 10 ⇒ x = 210. ∴ logx y = 100 ⇒ y = x100 ⇒ y = (210)100 [put value of x] ⇒ y = 21000.
Question 2
What is the value of log(ab^2) – log(ac) + log(abc^4) – 3log(bc)?
A
2
B
0
C
-2
D
1
Question 2 Explanation: 
log(ab2) – log(ac) + log abc4 – 3log(bc) = log ab2 – logac + log abc4 – log b3c3 = loga ab2 ac x abc4 b3c3 loga a = 1
Question 3
The value of log 9/8 – log 27/32 + log3/4 is ?
A
0
B
1
C
2
D
3
Question 3 Explanation: 
Given Exp. = log [{(9/8) / (27/32)} x 3/4)] = log [(9/8) x (3/4) x (32/27)] = log 1 = 0
Question 4
The simplified form of log(75/16) -2 log(5/9) +log(32/343) is ?
A
log 2
B
2 log 2
C
log 3
D
log 5
Question 4 Explanation: 
Given Exp. = log75/16 – 2 log5/9 + log32/343 = log [(25 x 3) / (4 x 4)] – log (25/81) + log [(16 x 2) / (81 x 3)] = log(25 x 3) – log ( 4 x 4 ) – log(25) + log81 + log(16 x 2) -log (81 x 3) = log 25 + log 3 – log 16 – log 25 + log 81 + log 16 + log 2 – log 81 – log 3 = log 2
Question 5
Find the value of log (a^2 / bc) + log (b^2 / ac) + log (c^2 / ab) ?
A
0
B
1
C
abc
D
ab^2c^2
Question 5 Explanation: 
logX+logY=log(XY) log(a2/bc)+log(b2/ac)+log(c2/ab) =log(a2 b2 c2 b/cacab) =log(a2 b2c2/ a2b2c2) =log1=0
Question 6
The equation loga (x) + loga (1+x)=0 can be written as ?
A
x^2 + x – 1 = 0
B
x^2 + x + 1 = 0
C
x^2 + x – e = 0
D
x^2 + x + e = 0
Question 7
If 10^0.3010 = 2, then find the value of log0.125 (125) ?
A
699 / 301
B
– 699 / 301
C
– 1
D
– 2
Question 7 Explanation: 
log0.5 = -0.3010 log0.5 = -0.3010 1 -.301 = .699
Question 8
log10 (10) + log10 (100) + log10 (1000) + log10 (10000) + log10 (100000) is equal to ?
A
15
B
log 11111
C
log10 (1111)
D
14 log10 (100)
Question 8 Explanation: 
1 + 2 + 3 + 4 + 5 = 15
Question 9
The value of log2 (1/64) is?
A
6
B
– 6
C
7
D
None of these
Question 9 Explanation: 
log2(164)=xlog2(164)=x Rewrite the equation as x=log2(164)x=log2(164). x=log2(164)x=log2(164) Logarithm base 22 of 164164 is −6-6. x=−6
Question 10
If log 125 / log 5 = x, then x is equal to ?
A
2
B
3
C
4
D
1 / 2
Question 10 Explanation: 
If log 125 / log 5 = x then x = 3log5 / log5= 3
There are 10 questions to complete.