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Write the following logarithmic expression as a single logarithm with coefficient 1.
log9 - 2logk

Write the following logarithmic expression as a single logarithm with coefficient 1 log9 2logk class=

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Answer:

Step-by-step explanation:

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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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