Question

log 1 to the base 2​

Answer 1

Answer:

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Log base 2, also known as the binary logarithm, is the logarithm to the base 2. The binary logarithm of x is the power to which the number 2 must be raised to obtain the value x. For example, the binary logarithm of 1 is 0, the binary logarithm of 2 is 1 and the binary logarithm of 4 is 2.

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Answer 2

The inverse function of the power of two functions is log base 2, also known as a binary logarithm. According to the general logarithm, any real number n can be expressed in exponential form as n = aˣ

In this case, 'a' is a positive real number is known as a base, and 'x' is an exponent; the logarithm form is written as Logₐ n = x

The power to which the number 2 must be raised to obtain the value of n is log base 2. Log base 2 functions are written for any real number x as x = log₂ n

which is equivalent to 2ˣ = n

Log Base 2 Properties

1. The following are some logarithmic function properties with base 2:
2. log2 MN = log2 M + log2 Nis a product rule.(Multiply two numbers by their base 2 exponents.)
3. Log2 M/N = log2 M – log2 N is the quotient rule.
4. Subtract the exponents from two numbers divided by the base 2. Example:- log2 56 – log2 7 = log2(56/7)=log28
5. Raise an exponential expression to power and multiply its exponents. (Log2 Mp = P log2 M)

• The Zero Exponent Rule states that logₐ 1 = 0.
• Base Rule Modification: logb (x) = ln x / ln b or logb (x) = log10 x / log10 b
• Logb b = 1 For instance, log22 = 1.
• x = logb bx For instance, log22x = x

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