Question

Evaluate each expression. $$\log _{5} 5^{4}$$

Name: Problem 19, Chapter 8: Intermediate Algebra
Uploaded: 2020-06-23T08:11:56-08:00
Duration: 23 s
Channel: Ankit Gupta
Description: Evaluate each expression. log5 5^4

   Evaluate each expression. $$\log _{5} 5^{4}$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 8, Problem 19

Instant Answer

Solved by Expert Ankit Gupta

06/23/2020

Step 1

Step 1: We are given the expression $\log _{5} 5^{4}$. Show more…

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Evaluate each expression. $$\log _{5} 5^{4}$$

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Key Concepts

Logarithmic Identity

One of the key properties of logarithms is the identity log_b(b^x) = x, which is used to simplify expressions where the logarithm's base and the base of the exponent match. This identity directly applies to the evaluation of expressions like log_5(5^4), reducing the expression to just the exponent.

Logarithm

A logarithm represents the exponent to which a base must be raised to produce a given number. It is the inverse operation of exponentiation and is fundamental in solving equations where the variable is in the exponent.

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