Hey guys having trouble re-arranging this equation to solve for x.

$\displaystyle 7.50 = 8.075 + \log\frac{x}{0.0635-x}$

Any help much appreciated! with steps . thank you

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- Jun 12th 2009, 04:54 AMjvignacioRe-arrange to find x help....
Hey guys having trouble re-arranging this equation to solve for x.

$\displaystyle 7.50 = 8.075 + \log\frac{x}{0.0635-x}$

Any help much appreciated! with steps . thank you - Jun 12th 2009, 04:57 AMalexmahone
$\displaystyle 7.50 = 8.075 + \log\frac{x}{0.0635-x}$

$\displaystyle \log\frac{x}{0.0635-x}=-0.575$

$\displaystyle \frac{x}{0.0635-x}=10^{-0.575}$

$\displaystyle \frac{x}{0.0635-x}=0.266 $

$\displaystyle x=0.0168-0.266x$

$\displaystyle 1.266x=0.0168$

$\displaystyle x=0.0133$ - Jun 12th 2009, 05:24 AMAmer
- Jun 12th 2009, 05:30 AMalexmahone