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Question
Solve for x: `(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
Sum
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Solution
`(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
⇒ `(5^(5 - 4 + x))/(5^12)` = 5−5
⇒ `(5^(1 + x))/(5^12)` = 5−5
⇒ `5^(1 + x – 12)` = 5−5
⇒ `5^(x – 11)` = 5−5
Equating the powers of same base 5.
x – 11 = – 5
x – 11 + 11 = – 5 + 11
x = 6
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