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if log 3 = 0.477 and (1000)x = 3, then x equals to ? |
A) 0.159 B) 10 C) 0.0477 D) 0.0159 Correct Answer : 0.159 Explanation : loga(xp)=p(logax) (1000)x = 3 |
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The value of log23 x log 32 x log34 x log43 is ? |
A) 1 B) 2 C) 3 D) 4 Correct Answer : 1 Explanation : logax = logb x/logb a=log x/log a Thus, log23 x log 32 x log34 x log43 |
The value of log 9/8 - log 27/32 + log3/4 is ? |
A) 0 B) 1 C) 2 D) 3 Correct Answer : 0 Explanation : loga(xy) = loga x + loga y Thus, log 9/8 - log 27/32 + log3/4 => log [(9/8) /(27/32)] + log3/4 |
The equation logax + loga (1+x)=0 can be written as ? |
A) x2 + x - 1 = 0 B) x2 + x + 1 = 0 C) x2 + x - e = 0 D) x2 + x + e = 0 Correct Answer : x2 + x - 1 = 0 Explanation : loga(xy) = loga x + loga y So, logax + loga(1+x) = 0 |
Find the value of log9 81 - log4 32 ? |
A) 1 / 2 B) - 3 / 2 C) - 1 / 2 D) 2 Correct Answer : - 1 / 2 Explanation : logax = logb x/logb a=log x/log a. log9 81 - log4 32 |
log-1/3 81 is equal to ? |
A) - 27 B) - 4 C) 4 D) 127 Correct Answer : - 4 Explanation : logx x=1 y=xx is equivalent to, logxy = logxx ⇒ logxy =x Let, log-1/381 = x |
The value of log10 0.000001 is ? |
A) 6 B) - 6 C) 5 D) - 5 Correct Answer : - 6 Explanation : log10 10-6 = -6 |
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The value of log6 log5 15625 is ? |
A) 1 B) 2 C) 3 D) 4 Correct Answer : 1 Explanation : log6 log515625 = log6 log5(5)6 |
If log10000x = -1/4, then x is ? |
A) 1 / 100 B) 1 / 10 C) 1 / 20 D) 1 Correct Answer : 1 / 10 Explanation : log104x = -1/4 |
Given that log10 2 = 0.3010 the value of log10 5 is ? |
A) 0.3241 B) 0.6911 C) 0.6990 D) 0.7525 Correct Answer : 0.6990 Explanation : log105 = log10(10/2) |
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The value of log 128 - log 8 / log 4 is ? log 128 - log 8 / log 4 का मान है? |
A) 7
B) 5
C) 2
D) 1
Correct Answer : 2 Explanation : log 128 - log 8 / log 4 |
What is the solution of the equation xlog10(10/3) + log103= log10(2 + 3x ) + x ? समीकरण xlog10(10/3) + log103= log10(2 + 3x ) + x का हल क्या है? |
A) 10 B) 3 C) 1 D) 0 Correct Answer : 0 Explanation : xlog10(10/3) + log103= log10(2 + 3x ) + x consider 3x = 1 [3x ≠ -3] |