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College Algebra & Trigonometry, 2018a

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162 CHAPTER 3. EXPONENTS AND LOGARITHMS<br />

Example<br />

Express the given statement using exponential notation:<br />

log100=2<br />

If log100=2, then 10 2 = 100<br />

The notation ln N = x is typically used to indicate a logrithm to the base e. This<br />

means that:<br />

Example<br />

ln N = x → e x = N<br />

Express the given statement using exponential notation:<br />

ln 15 ≈ 2.708<br />

If ln 15 ≈ 2.708, then e 2.708 ≈ 15<br />

In some cases, we would want to change an exponential statement into a logarithmic<br />

statement.<br />

Exmple<br />

Express the given statement using logarithmic notation:<br />

12 4 =20, 736<br />

If 12 4 =20, 736 then log 12 20, 736 = 4

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