Respuesta :

Answer:

  1.896

Step-by-step explanation:

You can answer this just using your number sense.

  [tex]\log_7{(40)}\approx 1.896[/tex]

You know that 49 = 7², so log₇(49) = 2. The log function has a fairly small slope, so log₇(40) will not be far from 2.

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If you want to use your calculator, you can use the "change of base formula".

  log₇(49) = log(49)/log(7) ≈ 1.602060/0.845098 ≈ 1.896