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

what does (d+3) represent in 4.5(d+3)=45
Alfred, an electrician, charges a $65 service fee plus $33 an hour. If it takes 2.4 hours for Alfred to install a chandelier at a customer's house, how much sho
Find the equation of a line parallel to y + 9 = -3/2x that passes through the point (-8,9)
Where is the blue dot on the number line?
Write an equation in slope-intercept form of the line shown. An equation is
Solve for x: 2/7 (x-2) =4c
A body travels a distance of 20m in the 7th second and 24m in the 9th second. How much distance shall it travel in the 15th second?
A 70kg bicyclist (including the bicycle) is pedaling right with a constant speed despite experiencing a 50N drag. Neglect any friction impeding her motion. What
If x =3+2 root 2 find x - 1/x​
If the value of a is 8 in f(x)=ax^2 what does the graph look like? A) a parabola that opens down B) a parabola that opens up C) a parabola that opens left D) a