What is the value of log, base, 2, start fraction, 1, divided by, 64, end fractionlog 2 641 ?
Question
What is the value of log₂(1/64)?
Solution
The value of log base 2 of 1/64 can be calculated as follows:
First, we need to understand that 1/64 is the same as 2^-6. This is because 2^6 = 64, so 1/64 is the same as 2^-6.
The logarithm base 2 of 2^-6 is -6. This is because the logarithm base b of a number a is the exponent to which b must be raised to get a. In this case, 2 must be raised to the power of -6 to get 1/64.
So, log base 2 of 1/64 is -6.
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