Question

find x integer problem

Answer 1

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$<b><huge><color><red> Answer in attachment <b><huge><color<red>$

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Answer 2

We can write LHS as ((2)^2/3)^2x + 1/2

(2)^4x/3 + 1/3

and RHS as

1/2^5 = (2)-5

Now by comparing LHS and RHS we get

4x/3 + 1/3 = -5

(4x+1)/3 = -5

x = -4

You can crosscheck if the answer is correct by putting the value of x = -4 in eqaution given in question