I have just downloaded the newest version of QGIS (3.2) and the processing toolbox is nowhere to be found. It says that it is now apart of the core package, but i cannot find it on anywhere on the program.
@Arthur R, thank you. That is correct and totally fixed it: enable "Processing" plug-in.
Other answers that reference Processing drop down menu, the toolbox symbol, or ctrl+alt+t are not helpful for this issue because none of those appear without the plug-in enabled.