Question 268643
*[Tex \LARGE 72=8*9=2^3*3^2], 



*[Tex \LARGE \log_{b}\left(x^y\right)=y\log_{b}\left(x\right)], 
*[Tex \LARGE \log_{b}\left(xy\right)=\log_{b}\left(x\right)+\log_{b}\left(y\right)] and 
*[Tex \LARGE \log_{b}\left(b\right)=1]



*[Tex \LARGE \log_{b}\left(72b\right)=\log_{b}\left(2^3*3^2b\right)=\log_{b}\left(2^3\right)+\log_{b}\left(3^2\right)+\log_{b}\left(b\right)=3\log_{b}\left(2\right)+2\log_{b}\left(3\right)+1=3a+2c+1]



Answer: *[Tex \LARGE \log_{b}\left(72b\right)=3a+2c+1]