من ارشيف مكتبتي في الجبر

\[\begin{array}{l}
Q3. \\
& \left( a \right)\,{4^{x + 1.5}} + {9^x} = {6^{x + 1}} \\
& \left( b \right)\,{25^{2x - {x^2} + 1}} + {9^{2x - {x^2} + 1}} = 34 \cdot {15^{2x - {x^2}}} \\
& \left( c \right)\,{2^{2{x^2}}} + {2^{{x^2} + 2x + 2}} = {2^{5 + 4x}} \\
& \left( d \right)\,{\left( {\sqrt {5\sqrt 2 - 7} } \right)^x} + 6 \cdot {\left( {\sqrt {5\sqrt 2 + 7} } \right)^x} = 7 \\
\end{array}\]