how can we break ![\sqrt[2]{log_{a} x }](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7Blog_%7Ba%7D+x+%7D "\sqrt[2]{log_{a} x }")
into a simpler form of 
such that it is justified.
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ᴅɪᴠɪsɪᴏɴ. ᴛʜᴇ ʀᴜʟᴇ ᴡʜᴇɴ ʏᴏᴜ ᴅɪᴠɪᴅᴇ ᴛᴡᴏ ᴠᴀʟᴜᴇs ᴡɪᴛʜ ᴛʜᴇ sᴀᴍᴇ ʙᴀsᴇ ɪs ᴛᴏ sᴜʙᴛʀᴀᴄᴛ ᴛʜᴇ ᴇxᴘᴏɴᴇɴᴛs. ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ʀᴜʟᴇ ғᴏʀ ᴅɪᴠɪsɪᴏɴ ɪs ᴛᴏ sᴜʙᴛʀᴀᴄᴛ ᴛʜᴇ ʟᴏɢᴀʀɪᴛʜᴍs. ᴛʜᴇ ʟᴏɢ ᴏғ ᴀ ǫᴜᴏᴛɪᴇɴᴛ ɪs ᴛʜᴇ ᴅɪғғᴇʀᴇɴᴄᴇ ᴏғ ᴛʜᴇ ʟᴏɢs.
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