Evaluate log_9(27): animated lesson

1. 1. The problem
   Worked example

   $\log_{9}\left(27\right)$
2. 2. Step by step
   1. $$\log_{9}\left(27\right)$$
      Read the expression
   2. $$\log_{9}\left(27\right) = \frac{3}{2}$$
      Simplify exactly
   3. $$\log_{9}\left(27\right) = \frac{3}{2} \approx 1.5$$
      Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. 3. The answer
   $$\frac{3}{2} \approx 1.5$$

   log(27, 9) = 3/2 ≈ 1.5

4. 4. Check
   • ✓Decimal value: 1.5

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

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