Respuesta :

The value of log3^81 is going to be 4.

Answer:

Third option is correct. The value of given expression is 4.

Step-by-step explanation:

The given expression is

[tex]log_381[/tex]

The given expression can be written as

[tex]log_3(3\times 3\times 3\times 3)[/tex]

[tex]log_3(3^4)[/tex]

According to the property of logarithm expression,

[tex]log_a(a^b)=b[/tex]

Using this property of logarithm expression, we get

[tex]log_3(3^4)=4[/tex]

Therefore the value of given expression is 4 and option third is correct.