Question

Which expression is equivalent to log3(x + 4)?

Answer 1

ANSWER

The third option is the correct answer

$log3(x + 4) = log(3) + log(x + 4)$


EXPLANATION

The expression given to us is

$log3(x + 4) = log(3) + log(x + 4)$


This logarithmic expression is of the form

$log(A \times B)$


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



$log(A \times B) = log( A ) + log( B )$


We therefore set

$A = 3$

$B = x + 4$


The given expression now becomes,


$log3(x + 4) = log(3) + log(x + 4)$

Answer 2

If it's $\log(3(x+4))$ then it's $\log3 +\log(x+4)$