Question

Дуже срочно(РОЗПИСАТИ)!!!!! 80 балів

Answer 1

Ответ:

3.

${25}^{\frac{2}{ log_{ \sqrt{3} }(5) } } = {5}^{2 \times 2 log_{5}( \sqrt{3} ) } = \\ = {5}^{ log_{5}( {( \sqrt{3} )}^{4} ) } = 9$

4.

${10}^{2lg(5)} - {49}^{ log_{7}(4) } = \\ = {10}^{ log_{10}( {5}^{2} ) } - {7}^{2 log_{7}(4) } = \\ = {5}^{2} - {4}^{2} = 25 - 16 = 9$

5.

$\frac{ log_{6}(12) + log_{6}(3) }{2 log_{3}(6) - log_{3}(4) } = \frac{ log_{6}(12 \times 3) }{ log_{3}( \frac{ {6}^{2} }{4} ) } \\ = \frac{ log_{6}(36) }{ log_{3}(9) } = \frac{2}{2} = 1$

6.

$20 + x - {x}^{2} > 0 \\ {x}^{2} - x - 20 < 0 \\ \\ {x}^{2} - x - 20 = 0 \\ d = 1 + 80 = 81 \\ x1 = \frac{1 + 9}{2} = 5 \\ x2 = - 4 \\ \\ (x + 4)(x - 5) < 0 \\ x \in( - 4;5)$

х - 2 не равно 0

х не равно 2

Ответ:

$x \in(2;4)U(4;5)$