Rewrite the expression as a single logarithm and simplify the result.

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 15.

The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m). a coach has drawn a scale model of the field on a blackboard. if the longest side of his drawing is 18 cm, how long is the other side of the drawing( w)?

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. which set of triangles shows the similar triangles created by the altitude in the diagram?