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Question
Solve for x:
3 x 7x = 7 x 3x
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Solution
3 x 7x = 7 x 3x
⇒ `(7^x)/(7) = (3^x)/(3)`
⇒ `7^(x - 1) = 3^(x - 1)` ......(Using am ÷ an = am-n)
⇒ 7x - 1 = 3x - 1 x 1
⇒ 7x - 1 = 3x - 1 x 70 ......(Using a0 = 1)
⇒ x - 1 = 0
⇒ x = 1.
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