Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.2 - Page 468: 144

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Basic Logarithmic Properties 1. $\log_{b}1=0$ 2. $\log_{b}b=1$ 3. $\log_{b}b^{x}=x$ 4. $b^{\log_{b}x}=x$ ---------------------- $\log_{4}(\log_{3}(\log_{2}8))=\log_{4}(\log_{3}(\log_{2}2^{3}))=\qquad ...(3)$ $=\log_{4}(\log_{3}3)=\qquad ...(2)$ $=\log_{4}(1)=\qquad ...(1)$ $=0$