Question

What is the value of log subscript 625 baseline 5? –4 negative one-fourth one-fourth 4

Answer 1

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.

$\rm log_{625}{(5)} = x$

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.

$\rm 625^x=5$

Create expressions in the equation that all have equal bases.

$\rm (5^4)^x=5^1\\\\5^{4x}=5^1\\\\4x=1\\\\x=\dfrac{1}{4}$

Hence, the value of log subscript 625 baseline 5 is 1/4.

To know more about the log function click the link given below.

brainly.com/question/15093298