A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.
[tex]log9 - 2log k[/tex] will be equal to [tex]log(\frac{9}{k^{2} } )[/tex]
Rule in logarithmic expression,
[tex]m(loga)=log(a)^{m} \\\\log(a)-log(b)=log(\frac{a}{b} )[/tex]
We have to find, [tex]log9 - 2log k[/tex]
Applying above rules.
We get, [tex]log9 - 2log k=log(9)-log(k^{2} )\\\\=log(\frac{9}{k^{2} } )[/tex]
So, first option is correct.
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