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

any1 like to eat good food i do.
What is the least 10 digit whole number?
What kinds of scientific investigation involve observation
what contributed to the events of bleeding kansas
if x is a odd number write an expression for the odd number that comes directly before x
Which geometric instrument would I use to measure the length of a segment, the compass or the straightedge? Explain your answer.
If a octagon is 25 centimeters long then the perimeter of the octagon is how many meters
Which statement is true about the product square root of 2(5 + square root of 8)? It is rational and equal to 7. It is rational and equal to 9. It is irratio
In a dice game, you win if the two dice come up 7. Otherwise, you lose $1. What should be the profit for winning to make this game fair?
the English philosopher John Locke wrote that