4804405176
4804405176 4804405176
  • 01-04-2020
  • Mathematics
contestada

(05.01)

4^x = 8^x − 1
a. x=3/4
b. x=1
c. x=3
d. x=6
Algebra 2

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-04-2020

Answer:

c. x=3

Step-by-step explanation:

4^x = 8^(x − 1)

4 = 2^2

8 = 2^3

2^2^x = 2^3^(x-1)

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

2^(2x) = 2^(3*(x-1))

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

The bases are the same so the exponents are the same

2x = 3x-3

Subtract 3x from each side

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

-x = -3

x =3

Answer Link
amna04352
amna04352 amna04352
  • 02-04-2020

Answer:

c. x = 3

Step-by-step explanation:

4^x = 8^(x-1)

2²^x = 2³^(x-1)

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

2x = 3x - 3

x = 3

Answer Link

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