(2/3)^3*(2/3)^-6=(2/3)^x-4 find the value of x
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x=2
1/3
+2
2/3
+2
(x−2)=2
1/3
+2
2/3
−(1)
Cubing on both sides
(x−2)
3
={2
1/3
+2
2/3
}
3
x
3
−8−6x(x−2)=2
1
+2
2
+3(2)
1/3
(2)
2/3
(2
1/3
+2
2/3
) By equation (1)
x
3
−8−6x
2
+12x=6+3.2(x−2)
x
3
−8−6x
2
+12x=6+6x−12
x
3
−6x
2
+6x=2.
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