## 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.