Determining the Value of log₂(128) | Step-by-Step Calculation and Simplification

log₂(128)

To find the value of log₂(128), we need to determine the power to which we need to raise 2 to get 128

To find the value of log₂(128), we need to determine the power to which we need to raise 2 to get 128.

We start by asking ourselves, “What power of 2 equals 128?”

2^7 = 128

Therefore, we can express log₂(128) as log₂(2^7).

According to logarithm rules, we can rewrite this expression as:

log₂(2^7) = 7 * log₂(2)

The logarithm base 2 of 2 is simply 1, so we can simplify further:

7 * log₂(2) = 7 * 1 = 7

Hence, log₂(128) is equal to 7.

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