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Magazine Problem 54
Find the domain and range of each function. $$y=|\ln (x-1)|$$
Problem 60
Use properties of logarithms to write each logarithmic expression as a sum, difference and/or constant multiple of simple logarithms (i.e. logarithms without sums, products, quotients or exponents). $$\log _{2}(2 m)$$
Problem 61
Use properties of logarithms to write each logarithmic expression as a sum, difference and/or constant multiple of simple logarithms (i.e. logarithms without sums, products, quotients or exponents). $$\log \left(\frac{9}{x}\right)$$
Problem 62
Use properties of logarithms to write each logarithmic expression as a sum, difference and/or constant multiple of simple logarithms (i.e. logarithms without sums, products, quotients or exponents). $$\ln \sqrt[5]{x}$$
Problem 63
Use properties of logarithms to write each logarithmic expression as a sum, difference and/or constant multiple of simple logarithms (i.e. logarithms without sums, products, quotients or exponents). $$\log _{3}\left(a b^{3}\right)$$
Problem 64
Use properties of logarithms to write each logarithmic expression as a sum, difference and/or constant multiple of simple logarithms (i.e. logarithms without sums, products, quotients or exponents). $$\log \left[10 x(1+r)^{t}\right]$$
Problem 65
Use properties of logarithms to write each logarithmic expression as a sum, difference and/or constant multiple of simple logarithms (i.e. logarithms without sums, products, quotients or exponents). $$\ln \left(\frac{m^{3}}{n}\right)$$
Problem 66
Write each expression in terms of \(\log _{b} p, \log _{b} q\) and \(\log _{b} r\) $$\log _{b} p q r$$
Problem 67
Write each expression in terms of \(\log _{b} p, \log _{b} q\) and \(\log _{b} r\) $$\log _{b}\left(\frac{p^{2} q^{3}}{r}\right)$$
Problem 68
Write each expression in terms of \(\log _{b} p, \log _{b} q\) and \(\log _{b} r\) $$\log _{b} \sqrt[4]{p q}$$
