Question

The short form of 2 log 3 + 3 log 5 - 5 log 2 is​

Answer 1

Answer:

$log( \frac{1125}{32} )$

Step-by-step explanation:

given,

$2 log(3) + 3 log(5) - 5 log(2)$

To find the value of teh above.

Evaluating,

$2 log(3) + 3 log(5) - 5 log(2)$

$= log( {3}^{2} ) + log( {5}^{3} ) - log( {2}^{5} )$

$= log(9) + log(125) - log(32)$

$= log( \frac{9 \times 125}{32} ) = log( \frac{1125}{32} )$