Respuesta :
The value of log subscript 625 baseline 5 is 1/4.
What is a log function?
The logarithmic function is an inverse function to exponentiation.
Rewrite as an equation.
[tex]\rm log_{625}{(5)} = x[/tex]
Rewrite log625 (5) = x in exponential form using the definition of a logarithm.
If x and b are positive real numbers and b does not equal 1, then log(x) = y is equivalent to b^y = x.
[tex]\rm 625^x=5[/tex]
Create expressions in the equation that all have equal bases.
[tex]\rm (5^4)^x=5^1\\\\5^{4x}=5^1\\\\4x=1\\\\x=\dfrac{1}{4}[/tex]
Hence, the value of log subscript 625 baseline 5 is 1/4.
To know more about the log function click the link given below.
https://brainly.com/question/15093298
