The value of [tex]\log_5125[/tex] can be calculated using the logarithm rule.
The value of [tex]\log_5125[/tex] is 3.
Given:
The given expression is,
[tex]\log_5125[/tex]
What is a logarithm?
The logarithm is the inverse function of exponentiation. In logarithm base must be raised to yield a given number for an exponent.
Calculate the value of given logarithm.
[tex]\log_5125=\log_5(5)^3\\
\log_5125=3\log_55[/tex]
From logarithm rule [tex]\log m^n=n \log m[/tex]
[tex]\log_5125=3\times 1\\
\log_5125=3[/tex]
Thus, the value of [tex]\log_5125[/tex] is [tex]3[/tex]
Learn more about the logarithm rule here:
https://brainly.com/question/7302008
