The approximated value of the expression [tex]\log_{1/2}(5)[/tex] is -2.3219
What are approximations?
Approximations are used to determine the estimate of a value, when the actual value cannot be determined
The expression is given as:
[tex]\log_{1/2}(5)[/tex]
Apply the law of logarithm
[tex]\log_{1/2}(5) = \frac{\log(5)}{\log(1/2)}[/tex]
Using a calculator, we have:
[tex]\log_{1/2}(5) = -2.32192809489[/tex]
Approximate
[tex]\log_{1/2}(5) = -2.3219[/tex]
Hence, the approximated value of [tex]\log_{1/2}(5)[/tex] is -2.3219
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