Cameron27walker
Cameron27walker Cameron27walker
  • 14-02-2017
  • Mathematics
contestada

5 to the power of x equals 1 over 125. Simplify answer.

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RetroPotato
RetroPotato RetroPotato
  • 14-02-2017
1/125 would mean x is negative. -5 x -5 x -5 = -125 Meaning x = -3
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apologiabiology
apologiabiology apologiabiology
  • 14-02-2017
if aⁿ=aˣ, wher a=a, then assume that n=x

so


[tex]5^x= \frac{1}{125} [/tex]
remember that [tex]x^{-m}= \frac{1}{x^m} [/tex]
so
[tex] \frac{1}{125}= \frac{1}{5^3}=5^{-3}[/tex]

5^x=5^-3
x=-3
Answer Link

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