alleryIf log a equals zero, the value of a is
Ainfinity
Bzero
Cten
Dexactly one
Answer & Solution
Correct answer: D. exactly one
1. By log definition, log_b(x) = 0 implies b^0 = x.
2. For any positive base b, b^0 = 1.
3. So the value satisfying log a = 0 is exactly 1.
4. Zero (b), ten (c), and infinity (d) are not consistent with the rule.
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit IV 'Logarithms', p.17_
Keep practising Basic Arithmetic
Browse all Basic Arithmetic questions for CA Foundation, or explore more Quantitative Aptitude topics.
Related questions
If 25% of a number plus 15 equals 40, the number isThe mean proportional between 4 and 16 equalsIf a : b = c : d, then by alternendo, the relation a : c = b : d meansThe value of x^(a-b) * x^(b-c) * x^(c-a) for any non-zero x isThe duplicate ratio of 3 : 4 isThe inverse ratio of 11 : 15 isIf a, b, c, d are in proportion (a : b :: c : d), then by componendo and dividendo, (a + bIf log(2) = 0.3010, the number of digits in 5^20 is