cristinahauerstein cristinahauerstein
  • 03-03-2021
  • Mathematics
contestada

if 8^y = 16^x + 2 what is the value of Y

if 8y 16x 2 what is the value of Y class=

Respuesta :

hamza48 hamza48
  • 03-03-2021
Could be -4 or -2 as it can be divided
Answer Link
alisademinasf alisademinasf
  • 03-03-2021

Answer:

y= -8

Step-by-step explanation:

8^y = 16^(y+2)

//to solve make the base equal, both 8 and 16 are powers of (2

(2^3)^y = (2^4)^(y+2)

//simplify, remember when doing this multiply the powers

2^3y = 2^(4y+8)

// now we can just make the 2 powers equal

3y = 4y+8

0=y+8

y= -8

check:

8^(-8) = 16^(-6)

2^(-24) = 2^(-24)

Answer Link

Otras preguntas

(8-(-9))^2 + ((-3)-(-6))^2
Help me with 4-10 please
3n+12=20............. solve.....
Which element distinguishes hypermedia from linear multimedia? A. use of hyperlinks B. use of graphics C. use of embedded audio D. use of user recognition
imagine a forest of leafy, deciduous trees living in these conditions
Damage to the medulla oblongata can result in death because
During the Great Depression, who believed in broadening the role of the Federal government in resolving the economic crisis? Herbert Hoover Woodrow Wilson F
Nearly how many years did it take Sir Francis Drake to complete the first circumnavigation of the globe in 1580?
Helllllppppppp!! Can i have an explanation of this?
The pizza shop offers a 15 percent discount for veterans and senior citizens. An employee uses the calculations shown to figure out how to charge a senior citiz