anonymous
  • anonymous
5^(x+1) - 3x5^(x-1) = 22....please help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[5^{(x+1)}(1-3) = 22 =>5^{(x+1)} = -11 =>x is imaginary\]
anonymous
  • anonymous
1 certainly works
anonymous
  • anonymous
\[5^2-3=25-3=22\]

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anonymous
  • anonymous
you can write \[5^{x+1}=5^2\times 5^{x-1}\] and the solve \[25\times 5^{x-1}-3\times f^{x-1}=22\] \[22\times 5^{x-1}=22\] \[5^{x-1}=1\] \[x-1=0\] \[x=1\]
anonymous
  • anonymous
that "f" in line 4 should be a "5"
anonymous
  • anonymous
btw 1 is not imaginary. just thought i would mention it
anonymous
  • anonymous
sorry .. i misread the second exponent as x+1
anonymous
  • anonymous
oh, guess there would be nothing then for sure!
anonymous
  • anonymous
Another version: \[5^{x+1} - 3\cdot5^{x-1} = 22\] \[5\cdot 5^x-\frac{3}{5}5^x=22\] \[25\cdot 5^x-3\cdot 5^x=110\] \[22\cdot 5^x=110\] \[5^x=5\] \[x=1\]

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