What is (sqrt(7))^x=49^{y-2x},2^{y-x}=1024 ?

The solution to (sqrt(7))^x=49^{y-2x},2^{y-x}=1024 is

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(sqrt(7))^x=49^{y-2x},2^{y-x}=1024

(7)^{x} = 4 9^{y - 2 x}, 2^{y - x} = 1024

(x = 8, y = 18)

Solution steps

[(7)^{x} = 4 9^{y - 2 x} 2^{y - x} = 1024]

Isolate

x

for

2^{y - x} = 1024 : x = - 10 + y

Plug the solutions

x = - 10 + y

into

(7)^{x} = 4 9^{y - 2 x}

For

(7)^{x} = 4 9^{y - 2 x}

, subsitute

x

with

- 10 + y : y = 18

Plug the solutions

y = 18

into

2^{y - x} = 1024

For

2^{y - x} = 1024

, subsitute

y

with

18 : x = 8

Verify solutions by plugging them into the original equations

Therefore, the final solution for

(7)^{x} = 4 9^{y - 2 x}, 2^{y - x} = 1024

(x = 8, y = 18)

c = - \frac{7}{12}, a = - 12, p_{f (c, a)} (c, a) (c, a) = - \frac{8}{11}

x - 6 + x = 1, 6 x = 16

2 x + 3 y + z = 0, x + y + 2 z = 1, x - y - z = - 1

x + 3 y = 1, - x + y = 9

1 x - 6 y = 12, y + 3 x = 12, y = 12 - 2 x

What is (sqrt(7))^x=49^{y-2x},2^{y-x}=1024 ?
The solution to (sqrt(7))^x=49^{y-2x},2^{y-x}=1024 is