The equivalent to the given logarithm is [tex]\frac{log 462}{log0.5}[/tex]
Given the logarithmic function [tex]log_ab=c[/tex], this can be expressed in indices form as [tex]b = a^c[/tex]
Given the expression from the question [tex]log(\frac{1}{2})^{462}[/tex]
Using the law of logarithm
[tex]loga^b =\frac{logb}{log a}[/tex]
comparing with the given logarithmic function:
[tex]log(\frac{1}{2} )^{462}=\frac{log 462}{log0.5}[/tex]
Hence the equivalent to the given logarithm is [tex]\frac{log 462}{log0.5}[/tex]
Learn more here: https://brainly.com/question/23449767
