amethyst39 amethyst39
  • 13-06-2021
  • Mathematics
contestada

5 to the power -2 * 5x is equal to 1 solve for x ​

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musiclover10045
musiclover10045 musiclover10045
  • 13-06-2021

5^-2 * 5x = 1

Simplify:

5^-2 = 1/25

Now you have 1/25 * 5x = 1

1/25 x 5 = 1/5

1/5x = 1

Divide both sides by 1/5 ( when dividing by a fraction, flip the fraction over an multiply)

x - 1 x 5/1 = 5

X = 5

Answer Link
altavistard
altavistard altavistard
  • 13-06-2021

Answer:

x = 5

Step-by-step explanation:

This statement translates into 5^(-2)*5x = 1, which by rules of exponents simplifies to:

  5x                           x

--------- = 1,  or          ----- = 1

  5^2                          5

Cross-multiplying, we get x = 5

Answer Link

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