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Random lnsanity / A cookie
« on: June 09, 2008, 08:55:40 am »
Ooooo Math
3 ( 5^(2x+1) ) = 18 ( 2^(5x-3) )
Simplify: 3(5*(5^2x))=18((2^5x)/6)
Again: 5=(2^5x)/(5^2x)
e that sucker 5=(e^(2xlog5))/(e^(5xlog2))
Simplify again: 5=e^(2xlog5-5xlog2)
and again:5=e^(x(2log5-5log2))
bye bye e: ln(5) = x(2log5-5log2)
and we get x = ln(5)/(2*log(5)-5*log(2))
simple right?
3 ( 5^(2x+1) ) = 18 ( 2^(5x-3) )
Simplify: 3(5*(5^2x))=18((2^5x)/6)
Again: 5=(2^5x)/(5^2x)
e that sucker 5=(e^(2xlog5))/(e^(5xlog2))
Simplify again: 5=e^(2xlog5-5xlog2)
and again:5=e^(x(2log5-5log2))
bye bye e: ln(5) = x(2log5-5log2)
and we get x = ln(5)/(2*log(5)-5*log(2))
simple right?