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Ann [662]
3 years ago
10

If 5^-x=3 what does 5^3x equal?

Mathematics
2 answers:
nlexa [21]3 years ago
4 0
The answer is 1/27


5^{-x} = 3 \\  \\  \frac{1}{ 5^{x} } =3 \\  \\ 
1 = 3* 5^{x} \\  \\  5^{x}  = \frac{1}{3}  \\  \\ 
(5^{x})^{3}  = (\frac{1}{3})^{3} \\  \\ 
5^{x*3}= \frac{1^{3}}{3^{3}}  \\  \\ 
5^{3x}= \frac{1}{27}
vesna_86 [32]3 years ago
4 0
5 to the -x = 3 > which means that -x equals -.68260619
Plug in -.68260619 for x: 5 raised to 3x = .03703703
If that's how you intended to solve it then that's the correct answer.
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