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Magazine Problem 77
Write expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers. $$\log _{a} m-\log _{a} n-\log _{a} t$$
Problem 78
Write expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers. $$\log _{b} p-\log _{b} q-\log _{b} r$$
Problem 79
Write expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers. $$\frac{1}{3} \log _{b} x^{4} y^{5}-\frac{3}{4} \log _{b} x^{2} y$$
Problem 80
Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. $$\log _{2} 9$$
Problem 80
What values of \(x\) could not possibly be solutions of the following equation? $$\log _{a}(4 x-7)+\log _{a}\left(x^{2}+4\right)=0$$
Problem 80
Write expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers. $$\frac{1}{2} \log _{y} p^{3} q^{4}-\frac{2}{3} \log _{y} p^{4} q^{3}$$
Problem 81
Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. $$\log _{8} 0.59$$
Problem 81
Write expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers. $$2 \log _{a}(z+1)+\log _{a}(3 z+2)$$
Problem 82
Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. $$\log _{8} 0.71$$
Problem 82
Write expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers. $$5 \log _{a}(z+7)+\log _{a}(2 z+9)$$
