Sample Problems on Value of Log 3
Problem 1: Find the value of log 33.
Solution:
log ab = b × log a
log 33 = 3 × log 3
= 3× 0.4471
≈ 1.4313
Problem 2: find the value of x, 10x = 3 ?
Solution:
10x = 3
Taking log base 10 both sides, we get
log1010x = log103
⇒ x log1010 = log103
⇒ x = log10 3 [log1010 = 1]
⇒ x = log10 3 / log10 10
⇒ x = 0.4471/ 1
⇒ x = 0.4471
Value of log 3
Value of log(3) is 0.4771 in base 10 (common logarithm) and log(3) is 1.098612 in base e (natural logarithm) . A logarithm is a mathematical function that expresses the power to which a base must be raised to produce a given number or we can say it is a different way to represent the exponent.