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April 24, 2014

April 24, 2014

Posted by **George** on Saturday, August 23, 2008 at 11:25pm.

4 * 16^x = 10 * 11^x

Do you start by multiply 4 times 16 then 10 times 11, and then what? Or am I completely wrong?

- Calculus -
**Reiny**, Sunday, August 24, 2008 at 12:04amyou could do

4^1 * (4^2)^x = 10*11^x

4^(2x+1) = 10*11^x

now take the log of both sides

log(4^(2x+1)) = log10 + log11^x

(2x+1)log4 = 1 + xlog11

(2log4)x + log4 = 1 +xlog11

x(2log4 - log11) = 1-log4

x = (1-log4)/(2log4-log11)

x = 2.44544

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