Question

729=3^(n-1) what is the value of n

Answer 1

Hey there,

729=3^(n-1)

=>3^6=3^(n-1)

=>n-1=6

=>n=7.

Hope it helps

Answer 2

Solution :

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Given :

729 = $3^{n-1}$

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To Find :

The value of n,.

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We know that,.

⇒ 729 = 3 x 3 x 3 x 3 x 3 x 3  (By prime factorization method),.

⇒ 729 = $3^6$

As,

⇒ 729 = $3^{n-1}$

Hence,

⇒ $3^{n-1} = 3^6$

As, base is common,.

⇒ n - 1 = 6

⇒ n = 6 + 1

⇒ ∴ n = 7

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                                            Hope it Helps !!

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