[tex]5^{2x-3} \cdot 25^{-3+x} =1\\\\5^{2x-3} \cdot (5^{2} )^{-3+x} =1\\\\5^{2x-3} \cdot 5^{2(-3+x)} =1\\\\5^{2x-3} \cdot 5^{-6+2x} =1\\\\5^{2x-3+(-6+2x)} =1\\\\5^{2x-3-6+2x} =1\\\\5^{4x-9} =1\\\\5^{4x-9} =5^{0} \\\\~~~~\Updownarrow\\\\4x-9=0\\\\4x=9~~\vert ~~\div 4\\\\x=\dfrac{9}{4} \\\\x=2\dfrac{1}{4} \\lub~w~~zapisie~~ulamka~~dziesietnego\\x=2,25[/tex]
