Evaluate log (Base3) 9

Rewrite as an equation. log3 (9) = x log3 (9) = x Rewrite log3 (9) = x log3 (9) = x in exponential form using the definition of a logarithm. If xx and bb are positive real numbers and bb does not equal 11, then logb (x) = y logb (x) = y is equivalent to by = x by = x. 3x = 9 3x = 9 Create equivalent expressions in the equation that all have equal bases. 3x = 32 3x = 32 Since the bases are the same, the two expressions are only equal if the exponents are also equal. x=2 x=2 The variable xx is equal to 22. 2