Respuesta :

Answer:

[tex]log_28=3[/tex]

Explanation:

To calculate the value of [tex]log_28[/tex]

Also,Some relation for log values:

[tex]loga^m= mloga[/tex]  -----------------------------------------------------1

[tex]log_aa= 1[/tex]---------------------------------------------------------------2

Also, [tex]2^3= 8[/tex]

Applying in the question as:

[tex]log_28=log_2(2^3)[/tex]

Using Relation-1 mentioned above:

[tex]log_28=3\times log_2(2)[/tex]

Using Relation-2 mentioned above:

[tex]log_28=3\times 1[/tex]

Thus,

[tex]log_28=3[/tex]