Math Problem Statement

log2(16)=4 and 4^2=16

Solution

Yes, both statements are correct:

  1. log2(16)=4\log_2(16) = 4: This means that 2 raised to the power of 4 equals 16. In other words, 24=162^4 = 16.

  2. 42=164^2 = 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 log2(32)\log_2(32)?
  2. How would you calculate log5(25)\log_5(25)?
  3. What is the value of 333^3?
  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 ab=ca^b = c, then loga(c)=b\log_a(c) = b.

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponents

Formulas

log_b(a) = c ⇔ b^c = a
a^b = c

Theorems

Properties of Logarithms (Inverse of Exponents)
Exponentiation Rules

Suitable Grade Level

Grades 8-10