Question

if 2^x = 4^y =8^z find x:y:z

PLEASE ASWER STEP BY STEP

THANKS :)​

Answer 1

Answer:

1:2:3

Step-by-step explanation:

Here we can write

4^x=(2^2)^y     (since,4=2^2)

so,

2^2y     (Since,(a^m)^n=a^mn)

now,consider

8^z=(2^3)^z=2^3z     (since,8=2^3)

given that,

2^x=4^y=8^z

=>2^x=2^2y=2^3z

as the number is same i.e;2

so let its powers be equal we get

x=2y=3z=>x:2y:3z=>x:y:z=1:2:3

so, ratio =x:y:z=1:2:3

Hope this would be helpful for you

Answer 2

Question

if 2^x = 4^y =8^z find x:y:z

PLEASE ASWER STEP BY STEP

THANKS :)

Answer

1:2:3

Step-by-step explanation:

Here we can write

4^x=(2^2)^y     (since,4=2^2)

so,

2^2y     (Since,(a^m)^n=a^mn)

now,consider

8^z=(2^3)^z=2^3z     (since,8=2^3)

given that,

2^x=4^y=8^z

=>2^x=2^2y=2^3z

as the number is same i.e;2

so let its powers be equal we get

x=2y=3z=>x:2y:3z=>x:y:z=1:2:3

so, ratio =x:y:z=1:2:3

Hope this would be helpful for you