The value of logarithm function log₀.₅ 462 around the four decimal places is -8.8517.
Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The expression is [tex]\rm log _{\frac{1}{2}} 462[/tex].
We know the formula of a logarithm.
[tex]\rm log_ab = \dfrac{log\ b}{log\ a}[/tex]
Then we have
[tex]\rm log _{\frac{1}{2}} 462 = \dfrac{log\ 462}{log\ \frac{1}{2}}\\\\\\log _{\frac{1}{2}} 462 = \DFRAC{2.66464}{-0.3010299}\\\\log _{\frac{1}{2}} 462 = -8.852[/tex]
Thus, the value of [tex]\rm log _{\frac{1}{2}} 462[/tex] is -8.8517.
More about the logarithm link is given below.
https://brainly.com/question/7302008
