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If 9^ 1+ x =3^ 1+ x +210 (where base of is 3 ) then integral value of x is:

Correct answer

5

Step-by-step solution

aligned 3^ 2+2 ₃ x & =3^ 1+ ₃ x +210 9 x^2 & =3 x+210 9 x^2-3 x-210 & =0 x=5 aligned

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