Top 100+ Logarithm Aptitude Questions and Answers - 1

Ans: C

log₃₂x = 0.8 ⇔ x = (32)^0.8 = (2⁵)^4/5 = 2⁴ = 16.

Ans: C

360 = (2 × 2 × 2) × (3 × 3) × 5.

So, log 360 = log (2³ × 3² × 5)

= log 2³ + log 3² + log 5 = 3 log 2 + 2 log 3 + log 5.

Ans: C

Given expression

= $$({log 3} / {log 5} × {log 625} / {log 3})$$

= $${log 625}/{log 5}$$

= $${log(5^4)} / {log 5}$$

= $${4 log 5} / {log 5}$$ = 4.

Ans: D

log₂10 = $${1}/{ log₁₀}2$$ = $${1}/{0.3010}$$ = $${10000} / {3010}$$ = $${1000} / {301}$$.

Ans: D

log(2⁶⁴) = 64 × log 2 = (64 × 0.30103) = 19.26592.

Its characteristic is 19. Hence, the number of digits in 2⁶⁴ is 20.