Question

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

Answer 1

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

Answer 2

ANSWER

The third option is the correct answer


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


Step-by-step explanation

The expression given to us is


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


This logarithmic expression is of the form


`log(A * B)`


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




`log(A * 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)`