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Home Question Bank Math Pre Algebra Archive 2024 November 02

Pre-algebra Questions from Nov 02,2024

Browse the Pre-algebra Q&A Archive for Nov 02,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Use the properties of logarithms to expand the logarithm. Simplify if possible. \( \log _{6}\left(\sqrt[5]{\frac{7 x^{5}}{3 y^{6} z^{4}}}\right) \) Use the properties of logarithms to evaluate each of the following expressions. \[ \begin{array}{l}\text { (a) } 2 \log _{3} 4-\log _{3} 48=\square \\ \text { (b) } \ln e^{3}+\ln e^{7}=\square\end{array} \] Use the change of base formula to compute \( \log _{1 / 7} \frac{1}{6} \). Round your answer to the nearest thousandth. Question Use the change-of-base formula to approximate \( \log _{2} 53 \). (Round to 3 decimal places.) Provide your answer below: \( \begin{array}{ll}\text { D FEEDBACK MORE INST: }\end{array} \) Question Use the properties of logarithms to expand the logarithm. Simplify if possible. \( \log _{2}\left(\sqrt[4]{\frac{5 x^{3}}{2 y^{2} z^{4}}}\right) \) Note: If you are using log you need to type it in and use the subscript button on the keyboard. There is no log button. Provide your answer below. Use the change-of-base formula to approximate \( \log _{2} 77 \). (Round to 3 decimal places.) Provide your answer below: An arithmetic sequence is given below. \[ 32,25,18,11, \ldots \] Write an explicit formula for the \( n^{\text {th }} \) term \( a_{n} \) valuate using the properties of logarithms: \( 10^{\log \sqrt{5}} \) Obtain an approximate value for the logarithm using natural logarithms. \( \log _{22} 90 \) \( \log _{22} 90 \approx \square \) (Round to three decimal places as needed.) 1) Ranger dans f'ordíe croissant les nombres suvants: \[ a=\sqrt[4]{3} ; \quad b=\sqrt[5]{4} \text { et } c=\sqrt[10]{15} \] 2) Soit le nombre \( A=\frac{\sqrt[15]{3^{5}} \times \sqrt[3]{9} \times \sqrt[5]{9^{3}}}{\sqrt[5]{3}} \), montrer que \( A=9 \)
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