Package-specific logging levels for different Logback appenders

I have this simple Logback config file, containing two appenders and some custom logging levels based on package name.

<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE xml>
<configuration>

    <appender name="CONSOLE" class="ch.qos.logback.core.ConsoleAppender">
        <encoder>
            <charset>UTF-8</charset>
            <pattern>%date{HH:mm}\t%-5level\t%msg%n</pattern>
        </encoder>
    </appender>

    <appender name="FILE" class="ch.qos.logback.core.FileAppender">
        <file>my_logger.log</file>
        <encoder>
            <charset>UTF-8</charset>
            <pattern>%date{dd MMM HH:mm}|%class{0}|%-5level|%msg%n</pattern>
        </encoder>
    </appender>

    <!-- custom logging levels -->
    <logger name="myapp.package1" level="INFO" />
    <logger name="myapp.package2" level="INFO" />

    <root>
        <appender-ref ref="CONSOLE" />
        <appender-ref ref="FILE" />
    </root>

</configuration>

With this configuration, the custom logging levels are applied for both appenders.

How can I change it so that only ConsoleAppender uses these custom logging levels, while FileAppender sticks to default levels?