Judging from your logs it looks like tensorflow finds the correct cuda version but the cudnn library is missing.
2020-02-13 14:11:31.474361: I tensorflow/stream_executor/platform/default/dso_loader.cc:42] Successfully opened dynamic library libcudart.so.10.0
2020-02-13 14:11:31.526168: I tensorflow/stream_executor/platform/default/dso_loader.cc:53] Could not dlopen library 'libcudnn.so.7'; dlerror: libcudnn.so.7: cannot open shared object file: No such file or directory; LD_LIBRARY_PATH: /usr/local/cuda-10.2/lib64
Have you installed the correct version of cudnn? As you can see here
tensorflow 1.14 also requires cudnn 7.4