Question

What is the solution of (25)^x-2=(125)^2x-4?
Please answer it fastly.

Answer 1

Answer:

x=2

Step-by-step explanation:

hope it helped........

Answer 2

The value of x is equal to 2.

Step-by-step explanation:

We have,

$(25)^{x-2}=(125)^{2x-4}$

To find, the value of x = ?

∴ $(25)^{x-2}=(125)^{2x-4}$

⇒ $(5^2)^{x-2}=(5^3)^{2x-4}$

Using the exponential identity,

$(a^m)^{n}=a^{mn}$

⇒ $(5^)^{2(x-2)}=(5)^{3(2x-4)}$

Equating the power of 5, we get

∴ 2(x - 2) = 3(2x - 4)

⇒ 2x - 4 = 6x - 12

⇒ 6x - 2x = - 4 + 12

⇒ 4x = 8

⇒ x = 2

Thus, the value of x is equal to 2.