Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.3 - Page 478: 128

False

$$\log_{b}(xy)^5 = (\log_{b}x + \log_{b}y)^5$$ $$5(\log_{b}xy) = (\log_{b}x + \log_{b}y)^5$$ $$5(\log_{b}x + \log{b}y) = (\log_{b}x + \log_{b}y)^5$$ $$5\log_{b}x + 5\log_{b}y = (\log_{b}x + \log_{b}y)^5$$ $$\log_{b}x^5 + \log_{b}y^5 \neq (\log_{b}x + \log_{b}y)^5$$