Yes, both statements are correct:

1. \( \log_2(16) = 4 \): This means that 2 raised to the power of 4 equals 16. In other words, \( 2^4 = 16 \).

2. \( 4^2 = 16 \): This states that 4 raised to the power of 2 equals 16.

Would you like further details or any clarifications on logarithms or exponents?

Here are 5 related questions:
1. What is \( \log_2(32) \)?
2. How would you calculate \( \log_5(25) \)?
3. What is the value of \( 3^3 \)?
4. How do logarithmic and exponential functions relate to each other?
5. What are the properties of logarithms (e.g., product, quotient, power rules)?

**Tip**: Remember, logarithms are the inverse of exponential functions. If \( a^b = c \), then \( \log_a(c) = b \).

Explore the concepts of logarithms and exponents with the problem log2(16) = 4 and 4^2 = 16. This problem demonstrates the relationship between logarithms and exponents, including key formulas and theorems. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation