alleryThe value of log(1/64) base 4 is
A3
B-3
C-2
D-4
Answer & Solution
Correct answer: B. -3
1. 1/64 = 64^(-1) = (4^3)^(-1) = 4^(-3).
2. log base 4 of 4^(-3) = -3 by the definition log_b(b^x) = x.
3. So log_4(1/64) = -3.
4. Option C uses the wrong base power and is incorrect.
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit IV 'Logarithms', p.16_
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 log a equals zero, the value of a isIf 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 + b