K k9fireman New member Joined Apr 2, 2006 Messages 9 Apr 3, 2006 #1 Here's another one that seemed starnge to me. Can anyone work this out for me so i can see the steps?? I know it's easy.... sorry..... 2^x=3^(x+1) i get to: xlog2=(x+1)log3
Here's another one that seemed starnge to me. Can anyone work this out for me so i can see the steps?? I know it's easy.... sorry..... 2^x=3^(x+1) i get to: xlog2=(x+1)log3
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Apr 3, 2006 #2 \(\displaystyle \L \begin{array}{l} x\log (2) = (x + 1)\log (3) \\ x\log (2) = x\log (3) + \log (3) \\ x\log (2) - x\log (3) = \log (3) \\ x(\log (2) - \log (3)) = \log (3) \\ x = \frac{{\log (3)}}{{(\log (2) - \log (3))}} = \frac{{\log (3)}}{{\log (2/3)}} \\ \end{array}\)
\(\displaystyle \L \begin{array}{l} x\log (2) = (x + 1)\log (3) \\ x\log (2) = x\log (3) + \log (3) \\ x\log (2) - x\log (3) = \log (3) \\ x(\log (2) - \log (3)) = \log (3) \\ x = \frac{{\log (3)}}{{(\log (2) - \log (3))}} = \frac{{\log (3)}}{{\log (2/3)}} \\ \end{array}\)