Question

if 3 to the power x - y is 27 and 3 to the power x + y = 243, find x + y and x - y
jaldi

Answer 1

x+y=5

x-y=3

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Answer 2

Given :

• 3 ˣ ⁻ ʸ = 27
• 3 ˣ ⁺ ʸ = 243

To find :

• x + y
• x - y

Solution :

• 3 ˣ ⁻ ʸ = 27
• 3 ˣ ⁻ ʸ = 3 ³
• x - y = 3            ( 3 and 3 get cancelled )

★ Value of x-y is 3

• 3 ˣ ⁺ ʸ = 243
• 3 ˣ ⁺ ʸ = 3 ⁵
• x + y = 5          ( 3 and 3 get cancelled )

★ Value of x+y is 5

Verification :

• 3 ˣ ⁻ ʸ  = 27
• 3 ³ = 27
• 27 = 27
• 3 ˣ ⁺ ʸ = 243
• 3 ⁵ = 243
• 243 = 243