Question

алгебра пожалуйста....​

Answer 1

Ответ:

$1) {4}^{ log_{2}(9) } = {2}^{2 log_{2}(9) } = {2}^{ log_{2}( {9}^{2} ) } = {9}^{2} = 81$

$2) {( \frac{1}{9} )}^{ - 2 log_{3}(12) } = {3}^{ - 2 \times ( - 2 log_{3}(12)) } = {3}^{4 log_{3}(12) } = {3}^{ log_{3}( {12}^{4} ) } = {12}^{4} = 2073$

$3) {10}^{2 + log_{10}(8) } = {10}^{2} \times {10}^{ log_{10}(8) } = 100 \times 8 = 800$

$4) {( \frac{1}{2} )}^{ log_{ \frac{1}{2} }(6) - 3 } = {( \frac{1}{2} )}^{ log_{ \frac{1}{2} }(6) } \times {( \frac{1}{2}) }^{ - 3} = 6 \times 8 = 48$