Respuesta :

mumsy
the law of logarithms is 
㏒ₓᵃ =n and a=x^n
 we have ㏒₃ 9=2
3 is the base

Answer:

[tex]log_3(9)=2[/tex]

Step-by-step explanation:

[tex]3^2 = 9[/tex]

Logarithmic form is the reverse of exponential form

To convert exponential form in to log form we use a rule

[tex]b^x=a[/tex]  can be written as [tex]log_b(a)=x[/tex]

WE apply the same rule in our exponential equation to convert it into log form

[tex]3^2 = 9[/tex]

The base of exponent is the base of log

[tex]log_3(9)=2[/tex]

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