anonymous
  • anonymous
Can someone explain how to get the answer to this problem? Preferably step by step please! If 5^{-x+3}=2, then 5^{x-2}= ? Thank you!! :)
Mathematics
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anonymous
  • anonymous
Can someone explain how to get the answer to this problem? Preferably step by step please! If 5^{-x+3}=2, then 5^{x-2}= ? Thank you!! :)
Mathematics
chestercat
  • chestercat
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amistre64
  • amistre64
you want to find a value of x that makes it seem plausible but only when you take a quick glance :)
amistre64
  • amistre64
(-x+3) ln(5) = ln(2) -x+3 = ln(2)/ln(5) -x = (ln(2)/ln(5)) - 3 x = -(ln(2)/ln(5)) + 3 insert that value into the other side to solve
anonymous
  • anonymous
I used log instead of ln, it's the same thing right?

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amistre64
  • amistre64
yeah, i used ln casue its quicker to type than log and not as much room for error ;)
amistre64
  • amistre64
you coulda used log5 as well, but then log5(2) seems superfluous
anonymous
  • anonymous
For some reason, I'm getting weird answers instead of the choices given. The choices are 10, 25, 5/2 and 2/5.
amistre64
  • amistre64
for x or for the new value?
anonymous
  • anonymous
I typed the question exactly the way it's stated. I'm guessing it's after the value?
amistre64
  • amistre64
5^(-(ln(2)/ln(5)) + 3 - 2) 5^(-(ln(2)/ln(5)) + 1) = 2.5 http://www.wolframalpha.com/input/?i=5^%28-%28ln%282%29%2Fln%285%29%29+%2B+1%29
amistre64
  • amistre64
2.5 = 2' 1/2 = 5/2
anonymous
  • anonymous
Wow! Thank you!
amistre64
  • amistre64
yw :)

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