Math Problem Statement
log2(16)=4 and 4^2=16
Solution
Yes, both statements are correct:
-
: This means that 2 raised to the power of 4 equals 16. In other words, .
-
: 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:
- What is ?
- How would you calculate ?
- What is the value of ?
- How do logarithmic and exponential functions relate to each other?
- What are the properties of logarithms (e.g., product, quotient, power rules)?
Tip: Remember, logarithms are the inverse of exponential functions. If , then .
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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