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?