Question

Evaluate each logarithm. $$ \log _{4} 64 $$

   Evaluate each logarithm.
$$
\log _{4} 64
$$

Algebra 2

Prentice Hall, Basia… 1st Edition

Chapter 9, Problem 51

Instant Answer

Solved by Expert Dae'Jah Foster

03/13/2020

Step 1

Step 1: The logarithm $\log _{4} 64$ asks us to find the power to which we must raise 4 to get 64. Show more…

Show all steps

lock

Thanks for your feedback!

Evaluate each logarithm. $$ \log _{4} 64 $$

Play audio

Feedback

Powered by NumerAI

Dae'Jah Foster and 101 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Logarithm Definition

A logarithm is the inverse operation of exponentiation. It indicates the power to which a given base must be raised to obtain a specific number. In the expression log_b(a) = c, b raised to the power of c equals a.

Exponential Form Conversion

Transforming a logarithmic equation into its equivalent exponential form is key to evaluating logarithms. This involves rewriting log_b(a) = c as b^c = a, making it easier to solve for the exponent.

Properties of Exponents

Knowledge of exponent rules is essential when working with logarithms. For example, expressing both the base and the number in terms of a common base can simplify the equation, as it allows for direct comparison of the exponents.

Recommended Videos

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later