What is the solution of the equation 2 + 3^x = 7? round your answer to the nearest ten-thousandth. 0.2218 1.4650 0.6826 0.4522

The two expressions below have the same value when rounded to the nearest hundredth. log5 b log9 48 what is the approximate value of log b to the nearest hundredth? 0.93 1.23 9.16 65.53

In the diagram, points d and e are marked by drawing arcs of equal size centered at b such that the arcs intersect ba and bc. then, intersecting arcs of equal size are drawn centered at points d and e. point p is located at the intersection of these arcs. based on this construction, m , and m

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.