Respuesta :


[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{3^n(4)=108}[/tex]

[tex]\textsf{Divide 4 to both sides:}[/tex]

[tex]\mathsf{\dfrac{3^n(4)}{4}=\dfrac{108}{4}}[/tex]

[tex]\textsf{Simplify it:}[/tex]

[tex]\mathsf{3^n = \dfrac{108}{4}}[/tex]

[tex]\mathsf{3^n = 27}[/tex]

[tex]\textsf{Solve for the given exponent:}[/tex]

[tex]\mathsf{log (3^n) = log(27)}[/tex]

[tex]\textsf{Take the logarithm (log) of both sides:}[/tex]

[tex]\mathsf{n\times (log((3)) = log (27)}[/tex]

[tex]\textsf{Simplify it:}[/tex]

[tex]\mathsf{n = \dfrac{(log)27}{(log)3}}[/tex]

[tex]\mathsf{n = 3}[/tex]


[tex]\huge\textsf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{n = 3}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Step-by-step explanation:

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