Ln(1+ x
log a x= lnx lna (13) To see this, let y=log a x. Then ay =x Taking the natural logarithm of both sides yields lnay =lnx =⇒ ylna=lnx =⇒ lnx lna =y =log a x and (13) is proven. Derivatives and Integrals Involving log a x Most folks just use formula (13). For example, d dx log 7 x2+5x = d dx ln x2+5x ln7 = 1 ln7 d dx ln x2+5x =... See the text. ................
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