Question

1. Compute log25(9).log,27
6
2. Simplify 92(log5 3) + 27logo 36 +3|o97 9​

Answer 1

Answer:

$log_{25}(9) . log_{8}(27) = \frac{ log{25} }{ log(9) } . \frac{log27}{log8} \\ = \frac{log( {5})^{2}}{ log( {3)}^{2} } . \frac{ log( {3})^{3} }{ log( {2})^{3} } \\ = \frac{2log5}{2log3} . \frac{3 log(3) }{3 log(2) } \\ = log(5) . \frac{1}{ log(2) } \\ = \frac{ log(5) }{ log(2) }$