# solving equation (indices/logarithms)

I don't really understand the Logarithms concept when it comes to question with ln or log with base e.for example question like this:

1.solve the equation $$x^4\mathrm{e}^{-2\ln(x)}=18-3x$$

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is the equation you want to solve $x^4\mathrm{e}^{-2\ln(x)}=18-3x$? You have a symbol that can not be decoded. –  Chinny84 Jul 7 '14 at 10:03
yes, i've tried but it turned out like that. sorry. –  Mirra Jul 7 '14 at 10:06

use the property of the logarithm: $a \log x = \log x^a$, and then the definition: $e^{\ln x} = x$