log

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How can I solve this logarithmic simultaneous equation please? log2x - log4y = 4 (The 2& 4 after the word log, are the base). log2 (x - 2y) = 5 (The 2 after the word log is the base).

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Definitions (63)

Toggle American Heritage definitions American Heritage Dictionary (16)

  1. noun A usually large section of a trunk or limb of a fallen or felled tree.
  2. noun A long thick section of trimmed, unhewn timber.
  3. noun Nautical A device trailed from a ship to determine its speed through the water.
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Toggle Century definitions Century Dictionary (36)

Toggle GNU Webster definitions GNU Webster's 1913 (4)

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Examples (50)

  • Actually, what I really love about his log is the design, which fills me with envy. —  No Feeling of Falling
  • (This log is automatically archived each day, so the current log will usually show only errors for the current day.) —  Macworld
  • If this log is accurate, it includes some true gems - such as mob boss Corleone and Letlow comparing notes on how to effectively abuse report members the Nicholas family, which Linden Lab staffers they have influence over, and claims of mafia connections to Philip Linden and Lab staff in charge of account bans. —  Alphaville Herald
  • With a log swinging underneath, the helicopter worked its way down the drainage and was soon hovering just in front of us, where the log was then lowered into a predetermined position on the creek.
  • The Suunto X9i has an "activity mode" which records data to what it calls a log file (aka, the watch's memory). —  Watch Report
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Etymologies (6)

Toggle American Heritage etymologies American Heritage Dictionary (1)

  1. Middle English logge.

Toggle Century etymologies Century Dictionary (5)

  1. from Middle English *log (not found), from Icelandic lāg, a felled tree, a log (= Swedish dial. låga, a felled tree, a tree blown down), literally a tree that ‘lies’ prostrate, from liggja = Swedish ligga, lie: see lie. Cf. Dutch log, heavy, unwieldy (see loggy, logy); English log (from Swedish logg), a ship's log, and law (Anglo-Saxon lagu, Icelandic lög), from the same ult. source.
  2. from log, n.
  3. = D. G. log, from Swedish logg = Danish log, a ship's log, a piece of wood that ‘lies’ in the water; different from Icelandic lāg, a felled tree (later English log), but from the same ult. source, namely Icelandic liggja = Swedish ligga = Danish ligge, etc., lie: see lie.
  4. The apparently orig. of the freq. form logger, q. v. Cf. also loggan.
  5. Hebrew lōgh.
 

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/lɑg/
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