Question

√3ⁿ = 81 then n = ?

Answer 1

hey friend ,

we can write √3^n as 3^n/2

=) 3^n/2 = 81

we can write 81 = 3^4

so now equation becomes:-

=) 3^n/2 =3^4

now comparing coefficients we get,

=) n/2 = 4

=) n = 4×2 =8 ans

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Answer 2

Given: √3^n=81
            3^n/2=3^4
            n/2=4
           n=8
    ∴ value of n is 8