Question

What’s the value??????

Answer 1

Answer:

x = -1, x = 3  (B)

Step-by-step explanation:

25ˣ=5ˣ²⁻³

Can be simplified to:

5²ˣ=5ˣ²⁻³

2x=x²-3

x²-2x-3=0

(x-3)(x+1)

x = -1, x = 3

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Answer 2

Answer:

B  x=-1   x=3

Step-by-step explanation:

25^x = 5 ^ (x^2 -3)

Replace 25 by 5^2

5^2^x = 5 ^ (x^2 -3)

We know that a^b^c = =a^(b*c)

5^(2x) = 5 ^ (x^2 -3)

The bases are the same so the exponents must be the same

2x = x^2 -3

Subtract 2x from each side

2x-2x = x^2 -3 -2x

0 = x^2 -2x-3

Factor

0 =(x-3) (x+1)

Using the zero product property

x-3 =0       x+1 =0

x=3             x=-1