Which equation is equivalent to 2^4x = 8^x-3?

x=-3

Step-by-step explanation:

2^4x = 8^x-3

writing 8 as 2^3

2^4x = 2^3^x-3

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

2^4x = 2^ (2 * (x-3))

2^4x = 2^ (2x-6)

The bases are the same so the exponents are the same

4x = 2x-6

Subtract 2x from each side

4x-2x = 2x-6-2x

2x = - 6

Divide by 2

2x/2 = - 6/2

x = - 3