find the value of x in the following 5^x×5^8=5-3
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We know that when two numbers are multiplied then their powers will get added and when two numbers are subtracted then their powers will get divided.
According to the question,
5^x × 5^8 = 5^-3
or, 5^x+8 = 5^-3
or, x + 8 = -3 [the numbers get cancelled]
or, x = -3 - 8 [transposition method]
or, x = -11
Answer:
The value of x is -11 .
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