Question

show that LHS=RHS

plzzz give fast....​

Answer 1

SOLUTION

L.H.S

$= > log \frac{75}{16} - 2log \frac{5}{9} + log \frac{32}{243} \\ \\ = > log \frac{75}{16} - log( \frac{5}{9}) {}^{2} + log \frac{32}{243} \\ \\ = > log( \frac{ \frac{ \frac{75}{16} \times \frac{32}{243} }{25} }{81} </u></strong><strong><u>)</u></strong><strong><u>\\ \\ = > log \: 2$

R.H.S