Grade 11 · Math

Read a logarithm as an exponent

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Example & extra help
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Find log base 5 of 125.

  1. 3
  2. 2
  3. 4
  4. 5
See the answer & why

3

A logarithm gives an exponent: 53 = 125, so log base 5 of 125 is 3.

A little hint: Ask: to what exponent must the base be raised to get the positive argument?

Check that the base is positive and not 1, and that the argument is positive.

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