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Answer :

[tex]log_6u+6log_6v[/tex]

rewrite the logarithm using the property

[tex]n\ast log_ab=log_a(b^n)[/tex]

then,

[tex]log_6u+log_6(v^6)[/tex]

continue using the property

[tex]log_ab+log_ac=log_a(b\ast c)_[/tex]

finally, apply the property

[tex]log_6(uv^6)[/tex]

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