Question

7 ^ { n - 2 } × 2 ^ { n - 3 } = 56​

Answer 1

Answer:

n = 3,6

Step-by-step explanation:

7ⁿ ⁻ ² × 2ⁿ ⁻ ³ = 56

⇒ 7ⁿ ⁻ ² × 2ⁿ ⁻ ³ =  7× 2 × 2 × 2

⇒ 7ⁿ ⁻ ² × 2ⁿ ⁻ ³ = 7¹ × 2³

Now comparing the base of 7

n - 2 = 1

⇒ n = 2 + 1

⇒ n = 3

Now comparing the base of 2

n - 3 = 3

⇒n = 3 + 3

⇒ n = 6

∴ n = 3,6

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