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Solution 3.4:1c

From Förberedande kurs i matematik 1

Revision as of 13:22, 12 September 2008 by Ian (Talk | contribs)
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The equation has the same form as the equation in exercise c and we can therefore use the same strategy.

First, we take logs of both sides,


ln3ex=ln72x 


and use the log laws to make x more accessible:


ln3+xlne=ln7+xln2


Then, collect together the x terms on the left-hand side:


xlneln2=ln7ln3 


The solution is now


x=lneln2ln7ln3=1ln2ln7ln3