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प्रश्न
Find x such that 3x+2 = 3x + 216
उत्तर
Given 3x+2 = 3x + 216, 3x+2 = 3x + 216
Dividing throught by 3x, we get
`(3^(x+2))/(3^x) = (3^x)/(3^x) + (2^3 + 3^3)/(3^x)`
3x+2−x = 3x−x + (23 × 33−x)
32 = 30 + 23 × 33−x
32 − 30 = 23 × 33−x
9 − 1 = 23 × 33−x
8 = 23 × 33−x
`(2^3)/(2^3)` = 33−x
23−3 = 33−x
20 = 33−x
1 = 33−x
30 = 33−x
Equating the powers of same base
0 = 3 − x
x = 3
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