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Q)

if 7^(x-y)=343 and 7^(x+y)=16807, what is the value of x?

if 7^(x-y)=343 and 7^(x+y)=16807, what is the value of x?

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A)

7(x - y) = 343 = 73

=> x - y = 3 ---------------------------(1)

7(x + y) = 16807 = 75

=> x + y = 5 ---------------------------(2)

(Equation 1)+ (Equation 2)

=> 2x = 3 + 5 = 8

=> x = 82 = 4

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