[Transformer TF300T Q&A, Help & Troubleshooting] sbdags:
Hmm, there are a lot of errors in the log:

10-11 09:34:38.670 W/PackageManager(553): Unknown permission com.android.chrome.PRERENDER_URL in package com.google.android.googlequicksearchbox

Then you have lots of errors opening chrome

10-11 09:37:10.924 E/dalvikvm(2259): ERROR: couldn't find native method
10-11 09:37:10.924 E/dalvikvm(2259): Requested: Lorg/chromium/content/app/LibraryLoader;.nativeLibraryLoadedOnMainThread:([Ljava/lang/String;)I
10-11 09:37:10.924 E/dalvikvm(2242): ERROR: couldn't find native method
10-11 09:37:10.924 E/dalvikvm(2242): Requested: Lorg/chromium/content/app/LibraryLoader;.nativeLibraryLoadedOnMainThread:([Ljava/lang/String;)I
10-11 09:37:10.924 E/chromium(2259): [1011/093710:ERROR:LibraryLoader_jni.h(54)] RegisterNatives failed in out/Release/obj/gen/content/jni/LibraryLoader_jni.h
10-11 09:37:10.924 W/dalvikvm(2259): JNI_OnLoad returned bad version (-1) in /system/lib/libchromeview.so 0x40e921a0
10-11 09:37:10.924 E/chromium(2242): [1011/093710:ERROR:LibraryLoader_jni.h(54)] RegisterNatives failed in out/Release/obj/gen/content/jni/LibraryLoader_jni.h
10-11 09:37:10.924 W/dalvikvm(2242): JNI_OnLoad returned bad version (-1) in /system/lib/libchromeview.so 0x40e93550
10-11 09:37:10.924 E/ChildProcessService(2259): Failed to load native library, exiting child process
10-11 09:37:10.924 E/ChildProcessService(2259): org.chromium.content.common.ProcessInitException
10-11 09:37:10.924 E/ChildProcessService(2259):	at org.chromium.content.app.LibraryLoader.loadAlreadyLocked(Unknown Source)
10-11 09:37:10.924 E/ChildProcessService(2259):	at org.chromium.content.app.LibraryLoader.loadNow(Unknown Source)
10-11 09:37:10.924 E/ChildProcessService(2259):	at org.chromium.content.app.ChildProcessService$2.run(Unknown Source)
10-11 09:37:10.924 E/ChildProcessService(2259):	at java.lang.Thread.run(Thread.java:856)
10-11 09:37:10.924 E/ChildProcessService(2259): Caused by: java.lang.UnsatisfiedLinkError: unknown failure
10-11 09:37:10.924 E/ChildProcessService(2259):	at java.lang.Runtime.loadLibrary(Runtime.java:371)
10-11 09:37:10.924 E/ChildProcessService(2259):	at java.lang.System.loadLibrary(System.java:535)
10-11 09:37:10.924 E/ChildProcessService(2259):	... 4 more
10-11 09:37:10.924 E/Main (2242): Failed to load native library.
10-11 09:37:10.924 E/Main (2242): org.chromium.content.common.ProcessInitException
10-11 09:37:10.924 E/Main (2242):	at org.chromium.content.app.LibraryLoader.loadAlreadyLocked(Unknown Source)
10-11 09:37:10.924 E/Main (2242):	at org.chromium.content.app.LibraryLoader.loadNow(Unknown Source)
10-11 09:37:10.924 E/Main (2242):	at com.google.android.apps.chrome.Main$InitializerContinuation.loadLibraryNow(Unknown Source)
10-11 09:37:10.924 E/Main (2242):	at com.google.android.apps.chrome.Main$InitializerContinuation.access$100(Unknown Source)
10-11 09:37:10.924 E/Main (2242):	at com.google.android.apps.chrome.Main$InitializerContinuation$1.run(Unknown Source)
10-11 09:37:10.924 E/Main (2242):	at android.os.Handler.handleCallback(Handler.java:725)
10-11 09:37:10.924 E/Main (2242):	at android.os.Handler.dispatchMessage(Handler.java:92)
10-11 09:37:10.924 E/Main (2242):	at android.os.Looper.loop(Looper.java:137)
10-11 09:37:10.924 E/Main (2242):	at android.os.HandlerThread.run(HandlerThread.java:60)
10-11 09:37:10.924 E/Main (2242): Caused by: java.lang.UnsatisfiedLinkError: unknown failure
10-11 09:37:10.924 E/Main (2242):	at java.lang.Runtime.loadLibrary(Runtime.java:371)
10-11 09:37:10.924 E/Main (2242):	at java.lang.System.loadLibrary(System.java:535)
10-11 09:37:10.924 E/Main (2242):	... 9 more
10-11 09:37:10.924 I/LibraryLoader(2242): loading: chromeview
10-11 09:37:10.924 E/Main (2242): error loading library
10-11 09:37:10.924 E/Main (2242): org.chromium.content.common.ProcessInitException
10-11 09:37:10.924 E/Main (2242):	at org.chromium.content.app.LibraryLoader.loadAlreadyLocked(Unknown Source)
10-11 09:37:10.924 E/Main (2242):	at org.chromium.content.app.LibraryLoader.ensureInitialized(Unknown Source)
10-11 09:37:10.924 E/Main (2242):	at com.google.android.apps.chrome.Main$InitializerContinuation$1.run(Unknown Source)
10-11 09:37:10.924 E/Main (2242):	at android.os.Handler.handleCallback(Handler.java:725)
10-11 09:37:10.924 E/Main (2242):	at android.os.Handler.dispatchMessage(Handler.java:92)
10-11 09:37:10.924 E/Main (2242):	at android.os.Looper.loop(Looper.java:137)
10-11 09:37:10.924 E/Main (2242):	at android.os.HandlerThread.run(HandlerThread.java:60)
10-11 09:37:10.924 E/Main (2242): Caused by: java.lang.UnsatisfiedLinkError: unknown failure
10-11 09:37:10.924 E/Main (2242):	at java.lang.Runtime.loadLibrary(Runtime.java:371)
10-11 09:37:10.924 E/Main (2242):	at java.lang.System.loadLibrary(System.java:535)
10-11 09:37:10.924 E/Main (2242):	... 7 more

Try clearing dalvik cache in twrp and rebooting please. It may be as simple as just needing to rebuild the cache.