Business Calculus
Determine the validity of the given statement.
5=19log1955=19^{\(\log\)_{19}5}5=19log195
Given that loga(p)=0.42\(\log\)_{a}\(\left\)(p\(\right\))=0.42loga(p)=0.42 and loga(r)=0.91\(\log\)_{a}\(\left\)(r\(\right\))=0.91loga(r)=0.91 find the value of logapr4\(\log\)_{a}\(\frac{\sqrt{p}\)}{\(\sqrt\)[4]{r}}loga4rp.
For which values of xx is the equation ln(x2−4x+4)+ln(x2+2x+1)=ln((x−2)2(x+1)2)\(\ln\]\left\)(x^2-4x+4\(\right\))+\(\ln\[\left\)(x^2+2x+1\(\right\))=\(\ln\]\left\)(\(\left\)(x-2\(\right\))^2\(\left\)(x+1\(\right\))^2\(\right\)) true?