What is equivalent to log₂(n) = 4?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
To understand what is equivalent to log₂(n) = 4, you need to understand the definition of a logarithm. A logarithm log_b(a) = c means that b raised to the power of c is equal to a. It's another way of writing an exponential equation.
So, in your equation, log₂(n) = 4, the base is 2 and the logarithm is equal to 4. This means that 2 raised to the power of 4 equals n.
Rewriting this in exponential form, you get:
2⁴ = n
Calculating 2 raised to the 4th power gives you:
2 * 2 * 2 * 2 = 16
Therefore, the value of n is 16.
So, the equation log₂(n) = 4 is equivalent to n = 16