Question

Simplify:log3 25 * log5 27​

Answer 1

Step-by-step explanation:

Solution:-

$log_{3}(25) \times log_{5}(27) \\ = log_{3}( {5}^{2} ) \times log_{5}( {3}^{3} ) \\ = 2 log_{3}(5) \times 3 log_{5}(3) \: \: (power \: rule) \\ = \frac{2}{ log_{5}(3) } \times 3 log_{5}(3) \: \: \: (change \: of \: base \: rule) \\ = 2 \times 3 \\ = 6$