Q23-25

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25Cosnider,lna2+lna22+lna23+...It is an infinite  G.P with first term,a=lna2 and Common ratio,r=lna22lna2=lna2So,lna2+lna22+lna23+...=lna21-lna2      As sum of an infinite G.P is a1-rCosnider,lna+lna2+lna3+lna4+....It is an infinite  G.P with first term,a=lna and Common ratio,r=lna2lna=lnaSo,lna+lna2+lna3+lna4+....=lna1-lna      As sum of an infinite G.P is a1-rSo, lna2+lna22+lna23+...=3lna+lna2+lna3+lna4+....lna21-lna2=3lna1-lnalna2=3lna1-lna1-lna22lna=3lna1-lna1-2lna    logx2=2logx2lna-2lna2=3lna-6lna24lna2=lna4lna2-lna=0lna4lna-1=0lna=0 or 4lna-1=0lna=0 or lna=14a=1 or a=e14So,a=e4   a1
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