Question

27ⁿ⁺¹ x 9 = 3¹⁷

giúp mình với

Answer 1

\(27^{n+1}\cdot9=3^{17}\)

\(3^{3^{n+1}}\cdot3^2=3^{17}\)

\(3^{3n+3+2}=3^{17}\)

\(3n+3+2=17\)

\(3n=12\)

\(n=4\)

Answer 2

27ⁿ⁺¹ . 9 = 3¹⁷

(3³)ⁿ⁺¹ . 3² = 3¹⁷

3³ⁿ⁺³ = 3¹⁷ : 3²

3³ⁿ⁺³ = 3¹⁵

3n + 3 = 15

3n = 15 - 3

3n = 12

n = 12 : 3

n = 4

Answer 3

\(27^{n+1}\times9=3^{17}\\ \Leftrightarrow27.\left(3^3\right)^n\times3^2=3^{17}\\ \Leftrightarrow3^3.3^{3n}=3^{17}:3^2\\ 3^3.3^n=3^{15}\\ \Leftrightarrow3^{3n}=3^{15}:3^3\\ \Leftrightarrow3^{3n}=3^{12}\\ \Rightarrow3n=12\\ \Leftrightarrow n=4\)

Vậy n = 4