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The value of logs 45 - 2log5 3 is Select one:
O a. 1.0
O b. 3.4
O c. 1.7
O d. 2.3

Sagot :

Mhanifaidn

a) 1

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Simplify in the following steps, using log rules:

  • log₅45 - 2log₅3 =                                       Given
  • log₅(3*3*5) - 2log₅3 =                                Rule log(ab) = log(a) + log(b)
  • 2log₅3 + log₅5 - 2log₅3 =                          Cancel equal terms with opposite signs
  • log₅5 =                                                        Rule logₐ(a) = 1
  • 1

So, the answer is 1.

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