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Magazine Problem 250
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{5}\left(4 x^{6} y^{4}\right)\)
Problem 251
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{2}\left(3 x^{5} y^{3}\right)\)
Problem 252
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{3}\left(\sqrt{2} x^{2}\right)\)
Problem 253
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{5}\left(\sqrt[4]{21} y^{3}\right)\)
Problem 254
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{3} \frac{x y^{2}}{z^{2}}\)
Problem 255
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{5} \frac{4 a b^{3} c^{4}}{d^{2}}\)
Problem 256
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{4} \frac{\sqrt{x}}{16 y^{4}}\)
Problem 257
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{3} \frac{\sqrt[3]{x^{2}}}{27 y^{4}}\)
Problem 258
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{2} \frac{\sqrt{2 x+y^{2}}}{z^{2}}\)
Problem 259
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible. \(\log _{3} \frac{\sqrt{3 x+2 y^{2}}}{5 z^{2}}\)
