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

Otras preguntas

Need this quickly (MATHS)
if the mean of a symmetrical distribution is 56, which of the values could be the median of the distribution 56,14,28,42
Angle (<) E and <F are vertical angles. If m<E = 17x+1 and m<F =20x-14, find m<F.
Fill in the blank with the correct direct object pronoun. 1pt Tengo el libro. -___ tengo.
What it is try to say
Which of these are ways that societies are affected by stds/stis? Select the three correct answers. a. an increase in the general risk of getting an std/sti
m=x+n/p solve for x?
I need help with this asap
which part of english society was completely exempted from restrictions under the magna carta ?
how did hitler conquer much of europe so quickly?