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2log2 8 – 3 logs 25 + 2x = log 10,000 may you show the steps please
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2log2 8 – 3 logs 25 + 2x = log 10,000
may you show the steps please

User Pavlos Karalis
by
8.2k points

1 Answer

7 votes

Answer: x=2 - 1/2 x ㏒(16/2953125)

Explanation:

  • log (28^2) + log(525^-3) + 2x=log(10^4)
  • log(28^2 x 1/523^3) + 2x=4
  • log(28^2/525^3) + 2x=4
  • log (112/75 x 75 x 525) + 2x=4
  • log(16/2953125) + 2x=4
  • 2x=4-log(16/2953125)
  • x=2-1/2 x log(16/2953125)

User Jbryson
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