High School

What is the equivalent logarithmic form of an exponential function where [tex]x = 3125[/tex]?

Answer :

The equivalent logarithmic form of an exponential function [tex]\(y = b^x\)[/tex] can be expressed as [tex]\(\log_b(y) = x\)[/tex].

Given that [tex]\(x = 3125\)[/tex], let's assume you have an exponential function in the form [tex]\(y = b^x\)[/tex]. The equivalent logarithmic form would be:

  • [tex]\[\log_b(y) = 3125\][/tex]

In this case, the base [tex]\(b\)[/tex] represents the base of the exponential function, and [tex]\(y\)[/tex] represents the value of the exponential function at [tex]\(x = 3125\)[/tex]. Keep in mind that you need to know the base [tex]\(b\)[/tex] of the exponential function to accurately convert between the two forms.

About Logarithmic

Logarithmic refers to a mathematical concept that involves expressing a quantity or number in terms of a logarithm. A logarithm is the exponent to which a fixed base must be raised to obtain a certain number.

You can learn more about Logarithmic at https://brainly.com/question/30226560

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