Respuesta :

Answer:

[tex]\frac{log(x + 2)}{log4}[/tex] is the correct answer

Step-by-step explanation:

The formula for change of base in logarithm is given by,

[tex]logba = \frac{logc a}{logc b}[/tex]

If we take the common base as 'e' , the formula becomes,

[tex]logba = \frac{log a}{log b}[/tex]

Applying this formula,

[tex]log4(x + 2) = \frac{log(x +2)}{log4}[/tex]

∴ As the first option matches with our answer, hence it is the correct answer.

( In the fourth option a bracket is missing, so it is not the correct option)