From the Google Play Store logout: here's how

In the Google Play Store, you can find no "sign out"button. In all of the Google Apps that run on your Google Account, you are automatically logged on as soon as the App is installed.

If you want to log out anyway, so just follow these steps:

1. Open the settings on your Android Smartphone.
2. Select the item "users & accounts". Here you can see a list of all the accounts with which you are on your Smartphone logged in.
3. Now tap on "Google".
4. You should be using multiple Google accounts simultaneously logged in, so you need to select first the desired account. If not, then you will be automatically redirected to the Account settings.
5. On this screen you can change the synchronization behavior of your Google account and the Google account of that device to remove it. To do this, tap the top right on the three dots and then select "remove account".
6. Depending on which Android Version you have and which manufacturer the device comes, can vary the look of the settings. You may need to tap, like in the photo below on "Remove" and this is the next step to confirm.
7. Please note that a Google account is for the complete use of Android devices as necessary. After the Removal of the account, you can download any Apps from the Play Store and many of their Apps no longer work.
8. By Removing the Google account, your account is not deleted it is only removed on your device. Data associated with your Google account and only on your device are stored, are cleared. Other data, such as Emails from Gmail, and more, synchronized data will remain stored in the Cloud.