anonymous
  • anonymous
What is the solution to the equation 14^ (x + 3) = 21 ? x ≈ –2.133 x ≈ –1.846 x ≈ 3.867 x ≈ 4.154
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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cwrw238
  • cwrw238
(x+3) ln 14 = ln 21 x+3 = ln 21 / ln 14 = 1.154 x = -2.154
cwrw238
  • cwrw238
oops - sorry its -4.154
anonymous
  • anonymous
\[\Large \log(14)^{x+3}=\log(21)\] \[\Large (x+3)\cdot \log14=\log21\] \[\Large (x+3)=\frac{\log21}{log14}\] \[\Large x=\frac{\log21}{log14}-3\] use calculator and you'll get... \[\huge x\approx -1.84\]

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cwrw238
  • cwrw238
what!! - i'm wrong the second time!! x = 1.154 - 3 = -1.846
anonymous
  • anonymous
actually it is - 1.84. thank you.
anonymous
  • anonymous
Here's proof
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cwrw238
  • cwrw238
yw - i cant do simple algebra today!!! lol
anonymous
  • anonymous
@cwrw238 It's important that you know to solve it (you know how it goes...) in calculations everyone makes mistakes ! .... that's normal. We're not robots!
cwrw238
  • cwrw238
right

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