If the expression is log₅ 25/x. then the expansion of this looks like
(log 25-log x)/ log 5.
Given that the expression is log₅ 25/x.
We are told to find the expanded value of the expression.
The change of base formula is used in writing a logarithm operation as a fraction of logarithms with a new base.
The expression is log₅ 25/x.
log₅ 25/x=log (25/x)/log 5
(We know that [tex]log_{a} b[/tex]=log b/ log a)
=(log 25-log x)/ log 5 (We know that log (u/v)=log u-log v)
Hence if the expression is log₅ 25/x. then the expansion of this looks like (log 25-log x)/ log 5.
Learn more about base change theorem at https://brainly.com/question/14998693
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