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Express 3^2 = x as a logarithmic equation.

Sagot :

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[tex]\hbox{if } a^b=c \hbox{ then} \log_a c=b \\ \\ 3^2=x \\ \Downarrow \\ \log_3 x=2[/tex]

Answer:

[tex]\log_3x=2[/tex]

Step-by-step explanation:

The given equation is

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

We need to express this equation as a logarithmic equation.

Taking log base 3 on both sides.

[tex]\log_33^2=\log_3x[/tex]

Using the property of logarithm, we get

[tex]2=\log_3x[/tex]          [tex][\because \log_aa^b=b][/tex]

Interchange the sides.

[tex]\log_3x=2[/tex]

Hence, the required equation is [tex]\log_3x=2[/tex].

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