diff --git a/testcontainers/core/container.py b/testcontainers/core/container.py
index 0ca126ca6..109319886 100644
--- a/testcontainers/core/container.py
+++ b/testcontainers/core/container.py
@@ -127,7 +127,13 @@ def get_wrapped_container(self) -> Container:
     def get_docker_client(self) -> DockerClient:
         return self._docker
 
+    def get_logs(self):
+        if not self._container:
+            raise ContainerStartException("Container should be started before")
+        return self._container.logs(stderr=False), self._container.logs(stdout=False)
+
     def exec(self, command):
         if not self._container:
             raise ContainerStartException("Container should be started before")
         return self.get_wrapped_container().exec_run(command)
+
diff --git a/testcontainers/core/waiting_utils.py b/testcontainers/core/waiting_utils.py
index 9b224d3b4..a711ace1d 100644
--- a/testcontainers/core/waiting_utils.py
+++ b/testcontainers/core/waiting_utils.py
@@ -84,7 +84,9 @@ def wait_for_logs(container, predicate, timeout=None, interval=1):
     start = time.time()
     while True:
         duration = time.time() - start
-        if predicate(container._container.logs().decode()):
+        stdout = container.get_logs()[0].decode()
+        stderr = container.get_logs()[1].decode()
+        if predicate(stdout) or predicate(stderr):
             return duration
         if timeout and duration > timeout:
             raise TimeoutError("container did not emit logs satisfying predicate in %.3f seconds"
diff --git a/tests/docker-compose-4.yml b/tests/docker-compose-4.yml
new file mode 100644
index 000000000..9966c6549
--- /dev/null
+++ b/tests/docker-compose-4.yml
@@ -0,0 +1,2 @@
+hello-world:
+  image: "hello-world"
diff --git a/tests/test_core.py b/tests/test_core.py
index 0b5aced4b..c4ac6f05a 100644
--- a/tests/test_core.py
+++ b/tests/test_core.py
@@ -13,3 +13,10 @@ def test_raise_timeout():
 def test_wait_for_hello():
     with DockerContainer("hello-world") as container:
         wait_for_logs(container, "Hello from Docker!")
+
+
+def test_can_get_logs():
+    with DockerContainer("hello-world") as container:
+        wait_for_logs(container, "Hello from Docker!")
+        stdout, stderr = container.get_logs()
+        assert stdout, 'There should be something on stdout'
\ No newline at end of file
diff --git a/tests/test_db_containers.py b/tests/test_db_containers.py
index 2fdc706e8..2fda23037 100644
--- a/tests/test_db_containers.py
+++ b/tests/test_db_containers.py
@@ -22,7 +22,7 @@ def test_docker_run_mysql():
             assert row[0] == '5.7.17'
 
 
-def test_docker_run_postgress():
+def test_docker_run_postgres():
     postgres_container = PostgresContainer("postgres:9.5")
     with postgres_container as postgres:
         e = sqlalchemy.create_engine(postgres.get_connection_url())
diff --git a/tests/test_docker_compose.py b/tests/test_docker_compose.py
index 747be5e16..28650d58d 100644
--- a/tests/test_docker_compose.py
+++ b/tests/test_docker_compose.py
@@ -4,6 +4,7 @@
 from testcontainers.compose import DockerCompose
 from testcontainers.core.docker_client import DockerClient
 from testcontainers.core.exceptions import NoSuchPortExposed
+from testcontainers.core.waiting_utils import wait_for_logs
 
 
 def test_can_spawn_service_via_compose():
@@ -34,6 +35,11 @@ def test_compose_wait_for_container_ready():
         compose.wait_for("http://%s:4444/wd/hub" % docker.host())
 
 
+def test_compose_can_wait_for_logs():
+    with DockerCompose(filepath="tests", compose_file_name="docker-compose-4.yml") as compose:
+        wait_for_logs(compose, "Hello from Docker!")
+
+
 def test_can_parse_multiple_compose_files():
     with DockerCompose(filepath="tests",
                        compose_file_name=["docker-compose.yml", "docker-compose-2.yml"]) as compose: