Evaluate log_4(1/16): animated lesson

1. 1. The problem
   Worked example

   $\log_{4}\left(\frac{1}{16}\right)$
2. 2. Step by step
   1. $$\log_{4}\left(\frac{1}{16}\right)$$
      Read the expression
   2. $$\log_{4}\left(\frac{1}{16}\right) = -2$$
      Simplify exactly
   3. $$\log_{4}\left(\frac{1}{16}\right) = -2$$
      Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. 3. The answer
   $$-2$$

   log(1/16, 4) = -2

4. 4. Check
   • ✓Decimal value: -2

Evaluate logarithms and solve logarithmic equations using the laws of logs.

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