Question

3 power x minus y equal to 27 and 3 power x + Y equal to 243 then find x

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Question:

${3}^{(x - y)} = 27 \: and \: {3}^{(x + y)} = 243$

To Find:

• Value of "x"

Solution:

$\implies {3}^{(x - y)} = 27$

$\implies{3}^{(x - y)} = {3}^{3}$

So,

$\implies(x-y) = 3........(1)$

$\implies y = x - 3$

And

$\implies{3}^{(x+y)} = 243$

$\implies{3}^{(x+y)} = {3}^{5}$

So,

$\implies x+y = 5.........(2)$

$\implies x + (x-3) = 5$

$\implies x + x - 3 = 5$

$\implies 2x - 3 = 5$

$\implies 2x = 5 + 3$

$\implies 2x = 8$

$\implies x = \frac{\cancel8}{\cancel2}$

$\huge\boxed{x = 4}$