Question

Find the value of x: 25 to the power of x-1 + 100 = 5 to the power of 2x /5​

Answer 1

Answer:

25^x-1= 5^(2x-1) - 100 → 5^2x-2 = 5^(2x-1) - 100

→ 5^2x-2-5^2x-1= -100 → 5^2x [5^-2 - 5^-1] = - 100

5^2x [11] = - 100

25 5

5^2x [1-5] = - 100

25

→ 5^2x [-4] = - 100

25

→ 5^2x [-4] = -100 * 25

→ 5^2x = 100 * 25 4 [ - * - = +]

→ 5^2x = 625

→ 5^2x = 5^4

So, 2x = 4

⇒ x = 2

Answer 2

Answer:

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