Question

Find the value of x so that ​

Answer 1

Answer:

x= -4

x = 1/3

Step-by-step explanation:

to solve this type of question we have to understood some thing

when X² × X³ ×Xⁿ are written like this in multiply with different powers in such condition all power are added it can we written as X⁵⁺ⁿ

now solution

(1)

given (3/4)⁻⁹ ₓ (3/4)⁻⁷ = (3/4)⁴ˣ

(3/4)⁻⁹⁻⁷ = (3/4)⁴ˣ

(3/4)⁻¹⁶ = (3/4)⁴ˣ

compare powers

-16 = 4x

x= -16/4

x= -4

(2)

(5/7)² + (5/7)³ˣ⁺¹ = (5/7)⁴

(5/7)²⁺³ˣ⁺¹ = (5/7)⁴

(5/7)³ˣ⁺³ = (5/7)⁴

compare powers

3x + 3 = 4

3x = 4-3

3x = 1

x = 1/3