\[\boxed{\mathbf{705}.}\]
\[1)\ \left( \frac{1}{3} \right)^{x} = x + 1;\]
\[y = \left( \frac{1}{3} \right)^{x} - показательная\ \]
\[функция:\]
\[x\] | \[- 2\] | \[- 1\] | \[0\] |
---|---|---|---|
\[y\] | \[9\] | \[3\] | \[1\] |
\[y = x + 1 - уравнение\ \]
\[прямой:\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[1\] | \[2\] |
\[Ответ:\ \ x = 0.\]
\[2)\ \left( \frac{1}{2} \right)^{x} = x - \frac{1}{2};\]
\[y = \left( \frac{1}{2} \right)^{x} - показательная\]
\[\ функция:\]
\[x\] | \[- 3\] | \[- 2\] | \[- 1\] | \[0\] |
---|---|---|---|---|
\[y\] | \[8\] | \[4\] | \[2\] | \[1\] |
\[y = x - \frac{1}{2} - уравнение\]
\[\ прямой:\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[- 0,5\] | \[0,5\] |
\[Ответ:\ \ x = 1.\]
\[3)\ 2^{x} = - x - \frac{7}{4};\]
\[y = 2^{x} - показательная\]
\[\ функция:\]
\[x\] | \[0\] | \[1\] | \[2\] | \[3\] |
---|---|---|---|---|
\[y\] | \[1\] | \[2\] | \[4\] | \[8\] |
\[y = - x - \frac{7}{4} - уравнение\ \]
\[прямой:\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[- 1,75\] | \[- 2,75\] |
\[Ответ:\ \ x = - 2.\]
\[4)\ 3^{x} = 11 - x;\]
\[y = 3^{x} - показательная\ \]
\[функция:\]
\[x\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|
\[y\] | \[1\] | \[3\] | \[9\] |
\[y = 11 - x - уравнение\ \]
\[прямой:\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[11\] | \[10\] |
\[Ответ:\ \ x = 2.\]