What's the value of [tex]\log_2\left(\frac{1}{8}\right)[/tex]?
Answer (3)
l o g a a p = p − − − − − − l o g 2 ( 8 1 ) = l o g 2 8 − 1 = l o g 2 ( 2 3 ) − 1 = l o g 2 2 − 3 = − 3 A n s . − 3
The correct **answer **for the value l o g 2 8 1 is equal to -3.
What is Logarithm?
In mathematics , Logarithms are defined a way of expressing exponents . A logarithm is defined as the **power **to which a number must be **raised **to get some other values.
The **expression **for logarithm of a number is written as ㏒ₓb = y.
**Properties **of Logarithm:
l o g x ( x n ) = n
The **value **of l o g 2 8 1 can be calculated by recognizing that 8 1 is equal to 2 raised to the power of -3.
l o g 2 8 1 = l o g 2 ( 2 − 3 )
From the **property **of logarithm:
l o g 2 ( 2 − 3 )
= -3
The **value **of l o g 2 8 1 is -3.
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The value of lo g 2 ( 8 1 ) is − 3 . This is derived from understanding that 8 1 can be expressed as 2 − 3 , leading to the conclusion lo g 2 ( 2 − 3 ) = − 3 .
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