Question

Помогите пожалуйста с логарифмами только 131 133 и 135

Answer 1

$131) \: {( {5}^{2} })^{ log_{5}(7) } ={ ( {5}^{ log_{5}(7) } )}^{2} = {7}^{2} = 49$
$133) \: = {( {5}^{3} )}^{ log_{5}( \sqrt[3]{4} ) } = {{(5}^{ log_{5}( \sqrt[3]{4} ) } )}^{3} = {( \sqrt[3]{4} )}^{3} = 4$
$135) = \frac{ log_{3}( {3}^{3} ) }{ log_{3}(2) } \times log_{3}( {2}^{2} ) = \frac{3 \times 2 log_{3}(2) }{ log_{3}(2) } = 6$