Giải phương trình :
${2^{{x^2} + 4}} = {2^{2\left( {{x^2} + 1} \right)}} + \sqrt {{2^{2\left( {{x^2} + 2} \right)}} - {2^{{x^2} + 3}} + 1} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)$
|
Giải các phương trình :
$\begin{array}{l}
1)\,\,{x^{3 - \lg \frac{x}{3}}} = 900\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,3)\,\,{8^{{x^3} - 1}} + {18^{{x^3} - 1}} = {2.27^{{x^3} - 1}}\\
2)\,\,{49^{\frac{1}{x}}} - {35^{\frac{1}{x}}} = {25^{\frac{1}{x}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,4)\,\,{4.3^x} - {9.2^x} = {5.6^{\frac{x}{2}}}
\end{array}$
|
|
|
Giải các phương trình :
$\begin{array}{l}
1)\,\,{5^{3x}} + {9.5^x} + 27\left( {{5^{ - 3x}} + {5^{ - x}}} \right) = 64\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\\
2)\,{2^{3x}} - \frac{8}{{{2^{3x}}}} - 6\left( {{2^x} - \frac{1}{{{2^{x - 1}}}}} \right) = 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)
\end{array}$
|
|
|
|
|
|
|
|
|
Giải các phương trình :
$\begin{array}{l}
1)\,{\left( {\frac{1}{4}} \right)^{x - 2}} = {2^{5 - x}} + 9\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,3)\,{\left( {\frac{1}{6}} \right)^{x - 3}} = {6^{5 - 2x}} - 12\\
2)\,\frac{3}{{{2^{3 - x}}}} = {4^{x - 4}} - 7\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,4)\,{5^{2x - 3}} = \frac{2}{{{5^{1 - x}}}} + 15
\end{array}$
|
Giải các phương trình :
$\begin{array}{l}
1)\,{5^{\left| {4x - 6} \right|}} = {25^{3x - 4}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\\
2)\,{3^{\left| {3x - 4} \right|}} = {9^{2x - 2}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)
\end{array}$
|
|
|
|
|
|
|
Giải phương trình : ${5^x}{.8^{\frac{{x - 1}}{x}}} = 500\,\,\,\,\,\,\,\,\,\,\,\,\,(1)$
|
Giải các phương trình :
$\begin{array}{l}
1){9^{{x^2} - 1}} - {36.3^{{x^2} - 3}} +3= 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,3)\,{4^{x + \sqrt {{x^2} - 2} }} - {5.2^{x - 1 + \sqrt {{x^2} - 2} }} = 6\\
2)\,{\left( {\sqrt[5]{3}} \right)^x} + {\left( {\sqrt[{10}]{3}} \right)^{x - 10}} - 84 = 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,4)\,{2.4^{ - \frac{1}{x}}} - {6^{ - \frac{1}{x}}} = {3.9^{ - \frac{1}{x}}}
\end{array}$
|