1.)
$>ls /usr/lib64/sane/ | grep brother

libsane-brother3.so libsane-brother3.so.1 libsane-brother3.so.1.0.7

2.)
$>ldd /usr/lib64/sane/libsane-brother3.so*

/usr/lib64/sane/libsane-brother3.so: linux-vdso.so.1 (0x00007f4d78d3b000) libpthread.so.0 => /lib64/libpthread.so.0 (0x00007f4d78d2e000) libnsl.so.1 => /lib64/libnsl.so.1 (0x00007f4d78d29000) libusb-0.1.so.4 => not found libm.so.6 => /lib64/libm.so.6 (0x00007f4d78adf000) libdl.so.2 => /lib64/libdl.so.2 (0x00007f4d78d22000) libc.so.6 => /lib64/libc.so.6 (0x00007f4d78800000) /lib64/ld-linux-x86-64.so.2 (0x00007f4d78d3d000) /usr/lib64/sane/libsane-brother3.so.1: linux-vdso.so.1 (0x00007efe6664a000) libpthread.so.0 => /lib64/libpthread.so.0 (0x00007efe664fb000) libnsl.so.1 => /lib64/libnsl.so.1 (0x00007efe664f6000) libusb-0.1.so.4 => not found libm.so.6 => /lib64/libm.so.6 (0x00007efe663f9000) libdl.so.2 => /lib64/libdl.so.2 (0x00007efe663f4000) libc.so.6 => /lib64/libc.so.6 (0x00007efe66000000) /lib64/ld-linux-x86-64.so.2 (0x00007efe6664c000) /usr/lib64/sane/libsane-brother3.so.1.0.7: linux-vdso.so.1 (0x00007fef8af9c000) libpthread.so.0 => /lib64/libpthread.so.0 (0x00007fef8af69000) libnsl.so.1 => /lib64/libnsl.so.1 (0x00007fef8af64000) libusb-0.1.so.4 => not found libm.so.6 => /lib64/libm.so.6 (0x00007fef8ad05000) libdl.so.2 => /lib64/libdl.so.2 (0x00007fef8af5d000) libc.so.6 => /lib64/libc.so.6 (0x00007fef8aa00000) /lib64/ld-linux-x86-64.so.2 (0x00007fef8af9e000)

Hier fehlt das Paket:

libusb-0_1-4

Und muss installiert werden:

sudo zypper install libusb-0_1-4