Question

solve x: (√2/5)^x-4=[125/8]^x​

Answer 1

Answer:

x=1

Step-by-step explanation:

We have,

(\dfrac{2}{5})^{x-4} =(\dfrac{125}{8})^{x}

To find, the value of x = ?

∴

Equating the powers, we get

x - 4 = - 3x

⇒ x + 3x = 4

⇒ 4x = 4

⇒ x = 1

Hence, the value of x is equal to 1.