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Self-base logarithms

Whenever we have a logarithm that’s in the form:

…the s essentially cancel out, and we just get as the answer.

Evaluate

Section titled “Evaluate ”
  • 5 to the power of what makes 5 to the power of 3?
  • Well… 3.
  • So our answer is !

Evaluate

Section titled “Evaluate ”
  • Answer:

Evaluate

Section titled “Evaluate ”
  • Answer:

Evaluate

Section titled “Evaluate ”
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Evaluate

Section titled “Evaluate ”
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Simplify

Section titled “Simplify ”
  • Answer:

Natural logarithms of

Section titled “Natural logarithms of ”

just means , so is just , which is just .

Evaluate

Section titled “Evaluate ”
  • Answer:

Evaluate

Section titled “Evaluate ”
  • Answer:

Evaluate

Section titled “Evaluate ”
  • Answer:

Evaluate

Section titled “Evaluate ”
  • Answer:

Evaluate

Section titled “Evaluate ”
  • Answer: