Respuesta :

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Answer:  [tex]\textsf{x = 1000}[/tex]

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Given: [tex]\textsf{log(x) = 3}[/tex]

Find: [tex]\textsf{The value of x}[/tex]

Solution:  In order to solve for x we need to get rid of the log which means that we need to put it to the power of the same number as the base.  When a base isn't displayed it defaults to 10 so we raise everything to the base of 10.

Get rid of log

  • [tex]10^{\textsf{log}_{10}\textsf{(x)}}} = 10^{\textsf{3}}[/tex]
  • [tex]x = 10^{\textsf{3}}[/tex]
  • [tex]x = 1000[/tex]

Therefore, the final answer would be that x is equal to 1000.