Respuesta :
Option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]
It is given that logarithm expression is [tex]\rm log3(x+4)[/tex]
It is required to simplify the above equation.
What is Logarithm?
It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have logarithm expression:
[tex]\rm log3(x+4)[/tex]
We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.
[tex]\rm logxy=logx+logy[/tex]
By using this property we get:
[tex]\rm =log3(x+4)\\\rm = log3+log(x+4)[/tex]
Because 3 and (x+4) are two different numbers, not (x+4).
Thus, option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]
Learn more about the Logarithm here:
brainly.com/question/163125
