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konrad509
If it's [tex]\log(3(x+4))[/tex] then it's [tex]\log3 +\log(x+4)[/tex]
kudzordzifrancis
ANSWER

The third option is the correct answer

[tex] log3(x + 4) = log(3) + log(x + 4)[/tex]


EXPLANATION

The expression given to us is

[tex] log3(x + 4) = log(3) + log(x + 4) [/tex]


This logarithmic expression is of the form

[tex] log(A \times B)[/tex]


So we use the multiplication law of logarithm which is given by



[tex] log(A \times B) = log( A ) + log( B ) [/tex]


We therefore set

[tex]A = 3[/tex]

[tex]B = x + 4[/tex]


The given expression now becomes,


[tex] log3(x + 4) = log(3) + log(x + 4) [/tex]


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