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Quantitative Aptitude Practice Test: Logarithms
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Avg score: 11% Most missed: “If log√243a = 8 / 5, then what would be the true value of a from the options giv…”
Logarithms topics include: Logarithms, functions and properties of logarithms, change of base, expanding and condensing logarithms.   Here are some logarithm formulas and properties: Logarithm of a number: The power to which a base must be raised to obtain that number. Logarithm of a positive real number: If ax = y, then component x is the logarithm of y to the base a. Logarithm of a number with zeros: The logarithm of a number with 'n' zeros immediately after the decimal is -- (n + 1) + the decimal. Logarithm of a number greater than 1: The characteristic is positive and is one less... Show more
Quantitative Aptitude Practice Test: Logarithms
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25 Questions

1. Given log 3 = 0.4771, then what would be the value of (log (0.27)2 * log (27 / 10)2/3) / (log 9)?
2. What would be the value of log24337 + log3228 – log361296?
3. Which value of z would satisfy 10z = 1.73 and log101730 = 3.2380?
4. Which of the following values of z would not satisfy (log5z)2 + log5z (5 / z) = 1?
5. Which of the following value of w is correct if, log100000w = – 1 / 5?
6. Which value of x would satisfy 23x + 3 = 82x + 2?
7. What will be the number of digits in the number 620?
8. Which of the following relationship between x and y would satisfy log(x / y) + log(y / x) = log (x + y)?
9. What will be the value of log1010 + log101000 + log10100000 + log1010000000?
10. Which of the following options can be equated to (log10√9)/(log109)?
11. Which values of m would satisfy the equation 2log2m = 1 + log2((5m / 2) – 3)?
12. What will be the number of digits in 2100?
13. Which value of a would satisfy (log2a)2 – log2a4 – 32 = 0 if, a is an integer?
14. Which value of a would satisfy log2a + log4a2 + log8a3 = 4?
15. What will be the value of log 9 / 8 + log 3 / 4 – log 27 / 32?
16. If log1000X = -1/3, then which value of X from the options given below would satisfy this equation?
17. What would be the value of x, if log10(x – 10) = 1?
18. Which of the given options is the correct simplified value of log43 * log2716?
19. Which of the following options is the correct simplified form of the expression log (75 / 16) – 2log (5 / 9) + log (32 / 343)?
20. What will be the value of m if, log5 (m2 + m) – log5 (m + 1) = 2?
21. Solve log (a – 13) + 3log2 = log (3a + 1) and tell which of the following options state the correct value of a?
22. What is the number of digits in 350?
23. What will be the value of log10 (xayb) if log10x = a and log10y = b?
24. Which value of p will satisfy log p – 2log3 = – 3?
25. Which value of z would satisfy the expression log2401z = – (1 / 4)?