log question...

k9fireman

New member
Joined
Apr 2, 2006
Messages
9
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
 
\(\displaystyle \L
\begin{array}{l}
x\log (2) = (x + 1)\log (3) \\
x\log (2) = x\log (3) + \log (3) \\
x\log (2) - x\log (3) = \log (3) \\
x(\log (2) - \log (3)) = \log (3) \\
x = \frac{{\log (3)}}{{(\log (2) - \log (3))}} = \frac{{\log (3)}}{{\log (2/3)}} \\
\end{array}\)
 
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