My macbook shut down itself at 65% and turn on to be 10% or 1%

Sounds like a Battery failure. More than likely the Battery condition will show "Service Recommended". Have Apple or an Apple Authorized Service Provider examine the laptop to confirm & provide you with a repair estimate.

The macOS System log now only shows the "Boot_time" entries. You may get codes when using the command line "log" utility, but the macOS logs are not much use for troubleshooting these days.

Try running the Apple Diagnostics to see if any hardware issues are detected.

Unfortunately many battery failures are hard to detect. I had to develop a special test to try to analyze the battery information to better identify a bad batteries in my organization's laptops.

FYI, you may see a different battery condition just before the laptop powers off or when you power on the laptop after such an incident.

What is the exact model of your laptop? You can get this information by clicking the Apple menu and selecting "About This Mac".

Edit: And what is the battery cycle count? You can get that information from the System Profiler's Power pane which can be accessed by Option-clicking on the Apple menu and selecting the first item. You may want to run the third party app Coconut Battery and post a screenshot of its screen (this will also include the cycle count if you click the "Battery Info" button). If you leave Coconut Battery running, then it may maintain a daily history of the battery information....maybe you will get lucky & it will show the battery's Full Charge Capacity (FCC) at a significantly lower value.