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Equation $ e^{2x+1.21} = 114\cdot 4^x $ steps I've done so far.

  • $2x + 1.21 = \ln(114) \cdot \ln(4) \cdot x$
  • $x = (\ln(114) * \ln(4))/1.21$

I don't think I was allowed to move the $x$ from the right side to the left the way I did.

1 Answers 1

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It should be $2x+1.21=\ln(114)+(\ln 4)x.$ (Recall that if $a$ and $b$ are positive, then $\ln(ab)=\ln(a)+\ln(b)$.)

The rest should not be difficult. The displayed equation is linear in $x$. Bring the $x$ stuff to one side, and everything else to the other side.

  • 0
    There was a slip about logarithms, easy to make. There was later a problem with a linear equation kind of problem basically like $7x+1-=3x+49$, except with more complicated numbers. Ideally there should be no issue with these, they come up pretty often.2012-12-05