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Magazine Problem 270
In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. \(4 \log _{2} x+6 \log _{2} y\)
Problem 271
In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. \(6 \log _{3} x+9 \log _{3} y\)
Problem 272
In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. \(\log _{3}\left(x^{2}-1\right)-2 \log _{3}(x-1)\)
Problem 274
In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. \(4 \log x-2 \log y-3 \log z\)
Problem 275
In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. \(3 \ln x+4 \ln y-2 \ln z\)
Problem 276
In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. \(\frac{1}{3} \log x-3 \log (x+1)\)
Problem 277
In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. \(2 \log (2 x+3)+\frac{1}{2} \log (x+1)\)
Problem 278
In the following exercises, use the Change-of-Base Formula, rounding to three decimal places, to approximate each logarithm. \(\log _{3} 42\)
Problem 279
In the following exercises, use the Change-of-Base Formula, rounding to three decimal places, to approximate each logarithm. \(\log _{5} 46\)
Problem 280
In the following exercises, use the Change-of-Base Formula, rounding to three decimal places, to approximate each logarithm. \(\log _{12} 87\)
