In addition to the final result, you will be graded on the work shown to arrive at the answer and the notation you use within the problem. Therefore, make sure you are neat, show your work, and follow directions. This assignment contains four numbered problems. 1. Use the properties of logarithms to expand the following expressions. The answer should not contain radicals or exponents; assume all variables are positive. Simplify or evaluate where possible. Show intermediate steps and line up equal signs. a) In (%J 4/..13 b) log( )SC J yw Write the expression as a single logarithm. Show intermediate steps and line up equal signs. 1 glog8 (v)+7log, (xz)log8 (w+4) Solve the equation. Leave answer(s) in exact simplified form and use a solution set to express your answer. Show work to determine if a potential solution is extraneous. log, (x+2)+log, (x+3)=1 4. Solve the equation. Use common logs to express your solution(s). Leave solutions(s) in exact simplified form. 5x+2 _ 73x Exact solutions(s) using common logs