Value of Log 5 – Solved Examples
Some examples value of log 5 are,
Example 1: Evaluate log 53
Solution:
log5 ≈ 0.69897
⇒ log 53 = 3 log 5 = 3 × log 5 = 3 × 0.69897 = 2.09691
Example 2: If 10x = 5, find the value of x.
Solution:
x = log105
x = log5/log10
x = 0.69897/1
x = 0.69897
Example 3: Solve for y in the equation 5y=125
Solution:
y = log5125
y = log125/log5
y = 2.09691/0/69897
y = 3
Example 4: If log5x = 2, find the value of x.
Solution:
log5x = 2
52 = x
x = 25
Example 5: Solve for z in the equation 52z-1 =1?
Solution:
52z-1 =1
2z-1=0
2z=1
z=1/2
Value of log 5
Value of the log 5 is approximately 0.69897. The value of log 5 is calculated on two bases 10 and e. On base 10, the value of log 5 is 0.69897 and the value of log 5 on base e is equal to 1.6094.
In this article, we will learn what is the value of log 5 on different bases, what is their meaning, and how to calculate the value of log 5.
Table of Content
- What is Value of Log 5?
- How to Calculate Value of log 5
- Value of Log 5 – Solved Examples
- Value of Log 5 – Practice Questions