If the expression is log₇49 x y z, then the expansion of the expression is 2+log x/ log 7+log y/log 7 +log z/ log 7.
Given that expression is log₇49 x y z.
We are required to find the expanded value of the expression.
The change of base formula is basically used to re-write a logarithm operation as a fraction of logarithms with a new base.
The expression is log₇49 x y z.
log₇49xyz= (log 49+log x+log y+log z)/log 7
We know that log mn=log m+ log n.
=log [tex]7^{2}[/tex]/ log 7+log x/log 7+log y/ log 7+ log z/log 7
=2 log 7/log 7+log x/log 7+log y/ log 7+ log z/log 7
=2+log x/log 7+log y/ log 7+ log z/log 7
Hence if the expression is log₇49xyz, then the expanded form is
2+log x/log 7+log y/ log 7+ log z/log 7.
Learn more about base change theorem at https://brainly.com/question/14998693
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