Solved Examples on Value of Log 4
Example 1: Solve for value of log 4².
Solution:
As we know, log ab = b × log a
Therefore, log 42 = 2 × log 4 ≈ 2 × 0.6021 = 1.2042
Example 2: If 10x = 4, find the value of x?
Solution:
x = log104
⇒ x = log104 / log1010
⇒ x = 0.6021 / 1
⇒ x = 0.6021
Example 3: Solve for y in the equation 4y = 64?
Solution:
y = log464
⇒ y = log1064 / log104
⇒ y = 1.8062 / 0.6021
⇒ y = 3
Example 4: If log4x= 3, find the value of x?
Solution:
Rewrite the equation in exponential form: 43 = x
Therefore, x = 4 * 4 * 4 = 64
Example 5: Solve for z in the equation 4(2z-1) = 1?
Solution:
Any non-zero number raised to the power of 0 equals 1.
Therefore, 2z – 1 = 0
Solving for z, we get z = 1/2
Value of Log 4
Value of log(4) is 1.3863 in base e (natural logarithm) and 0.6021 in base 10 (common logarithm). 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.
In this article, we will learn about the value of log 4 in different base such as 10, e, 3, and 2 and also learn about the methods from which we can find the value of log 4.