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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 log8a = 25 and log2b = 5, then which of the following options is correct?
2. What could be the value of x, if log2[log2 (log4 x)] = 1?
3. What will be the value of log23 * log32 * log34 * log43 * log56 * log65?
4. If 1 / 2 (log p + log q) = log ((p + q) / 2), then which relationship between a and b would be correct?
5. Which of the following relationship between x and y would satisfy log(x / y) + log(y / x) = log (x + y)?
6. Given logxa = b, then xb-1 can be expressed as which of the following?
7. Which of the following values of a satisfies the expression 55-a = 2-(5-a)?
8. Which of the following options is the correct simplified form of the expression log (75 / 16) – 2log (5 / 9) + log (32 / 343)?
9. What will be the value of log77 + log772 + log773 + ……… + log77n?
10. What would be the value of x, if log10(x – 10) = 1?
11. Which value of a would satisfy the expression log9a + log27√a = (log4911) / (log73)?
12. What is the value of log33 + log332 + log333 + log334 + ………… + log33n?
13. What will be the number of digits in 2100?
14. What would be the value of log24337 + log3228 – log361296?
15. Which of the following values of z would not satisfy (log5z)2 + log5z (5 / z) = 1?
16. Which value of z given in the options below would satisfy logz (5 / 7) = 1 / 3?
17. What will be the value of log432 – log927?
18. What will be the sum of all the values of w which satisfy 2log7|w+9| = log72401?
19. Provided log416 + log44 = z, then what is the value of z?
20. Given log10x = y, then how can 103y be expressed in terms of x?
21. Which of the following options represent the right value of variable z if, (10000)z = 4?
22. Which of the following is the correct value of z given log2[log3 [log2(log2z)]] = 1?
23. Which of the given options is the correct simplified value of log43 * log2716?
24. What is the value of log101.5?
25. Which set of values of z satisfy log (z2 – 6z + 6) = 0?