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Algebra and Applications Test 2

Question : 17 of 40

Marks: +1, -0

The equation

7^{x-1} + 11^{x-1} = 170

has

Solution: 👈: Video Solution

7^{x-1} + 11^{x-1} = 170

Let the value of x = 3

So,

7^{3-1} + 11^{3-1} = 170

7^2 + 11^2 = 170

49 + 121 = 170

170 = 170

Hence, x = 3 satisfies the given conditions.

If the value of x is greater or less than 3, then R.H.S is not equal to 170.

Hence, only one solution of the given equation exists.

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