On use of laws of logarithm in simplification evaluate by simplification
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Logarithms are a convenient way to express large numbers. (The base-10 logarithm of a number is roughly the number of digits in that number, for example.) Slide rules work because adding and subtracting logarithms is equivalent to multiplication and division. (This benefit is slightly less important today.)
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ᴡʜᴇɴ ᴀᴄɪᴅ ɪs ᴀᴅᴅᴇᴅ ᴛᴏ ᴡᴀᴛᴇʀ ᴛʜᴇʀᴇ ᴡɪʟʟ ʙᴇ ᴀ ғɪxᴇᴅ ᴀᴍᴏᴜɴᴛ ᴏғ ʜʏᴅʀᴏɴɪᴜᴍ ᴘʀᴇsᴇɴᴛ ɪɴ ᴛʜᴇ ғɪxᴇᴅ ᴠᴏʟᴜᴍᴇ ᴏғ sᴏʟᴜᴛɪᴏɴ. ɪғ ᴡᴇ ᴅɪʟᴜᴛᴇ ᴛʜᴇ sᴏʟᴜᴛɪᴏɴ ʜʏᴅʀᴏɴɪᴜᴍ ɪᴏɴ ᴘᴇʀ ᴠᴏʟᴜᴍᴇ ᴏғ sᴏʟᴜᴛɪᴏɴ ᴅᴇᴄʀᴇᴀsᴇ, ᴛʜɪs ɪɴ-ᴛᴜʀɴ ᴅᴇᴄʀᴇᴀsᴇs ʜʏᴅʀᴏɴɪᴜᴍ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ ɪɴ ᴛʜᴇ sᴏʟᴜᴛɪᴏɴ.
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