Question

rezolvati in R ecuatia 8^x = 2^x-2​

Answer 1

 

$\displaystyle\bf\\8^x=2^{x-2}\\\\\Big(2^3\Big)^x=2^{x-2}\\\\2^{3x}=2^{x-2}\\\\3x=x-2\\\\3x-x=-2\\\\2x=-2\\\\x=\frac{-2}{2}\\\\\boxed{\bf x=-1}$

 

 

Answer 2

Răspuns:

Explicație pas cu pas:

8 = 2^3

8^x = (2^3)^x = 2^3x

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

3x = x - 2

3x - x = -2

2x = -2

x = -2 : 2 = -1