Question

СРОЧНОООО!!!ДАЮ ВСЕ СВОИ БАЛЛЫ​

Answer 1

а)

$\Big((3^{10}\times3^5)^2\div81+3\times(9^3)^4\Big)\div x=3^{25}\\ \Big(3^{30}\div3^4+3^1\times((3^2)^3)^4\Big)\div x=3^{25}\\ \Big(3^{30}\div3^4+3^1\times3^{24}\Big)\div x=3^{25}\\ \Big(3^{26}+3^{25}\Big)\div x=3^{25}\\(3+1)\times 3^{25}\div x=3^{25}\\4\times3^{25}=3^{25}\times x|\div3^{25}\\4=x\\x=4$

Ответ: х=4, при условии, что х≠0

б)

$\dfrac{2^{2007}}{4^{1004}} =\dfrac{x}{0,5} \\\\\dfrac{2^{2007}}{2^{2008}} =\dfrac{x}{0,5}\\\\2^{-1}=\dfrac{x}{0,5}\\\dfrac{1}{2} =\dfrac{x}{0,5}\\\\x=\dfrac{0,5}{2} \\\\x=\dfrac{5}{20} \\\\x=\dfrac{1}{4} \\\\x=0,25$

Ответ: х=0,25