Evaluate the expression without using a calculator. log under 2 1
did you mean log2 1 ?
the log 1 = 0 , no matter what the base is , for any base > 0, base ≠ 1
To evaluate the expression log base 2 of 1 without using a calculator, we need to understand the basic properties of logarithms.
A logarithm is the inverse of an exponent. In this case, we are taking the logarithm base 2 (log₂) of 1. This means we are looking for the exponent to which 2 must be raised to obtain 1.
In other words, we need to find x in the equation 2^x = 1.
We know that any number raised to the power of 0 is equal to 1. Therefore, 2^0 = 1.
So, the value of log₂(1) is 0.
Hence, the expression log base 2 of 1 is equal to 0.