Question

hey guys, this is my problem please answer this questions through pic and give solution of this also
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Answer 1

Answer:

2) (3/8)⁴ⁿ⁺² * (3/8)⁹ = (3/8)⁶ⁿ⁺⁷

=> (3/8)⁴ⁿ * (3/8)² * (3/8)⁹ = (3/8)⁶ⁿ*(3/8)⁷

=> (3/8)¹¹/(3/8)⁷ = (3/8)⁶ⁿ/(3/8)⁴ⁿ

=> (3/8)¹¹⁻⁷ = (3/8)⁶ⁿ⁻⁴ⁿ

=> (3/8)⁴ = (3/8)²ⁿ

as the base of both sides of the equation are equal, we can equate the exponents and solve for x.

=> 4 = 2n

=> n = 2