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[latex] 1)Log_{4}(5-x)=2 ; Log_{4}(5-x)= Log_{4}16; 5-x=16;-x=11;x=-11 [/latex] [latex] 2)Log_{2} (4+x)=2; Log_{2} (4+x)= Log_{2}4; 4+x=4;x=0 [/latex] [latex] 3)Log_{7} (9-x)= Log_{7} 8; 9-x=8; x=1[/latex] [latex]4) Log_{7} (8+x)= Log_{7}10; 8+x=10; x=2 [/latex] [latex]5) Log_{7}(x+9)= Log_{7} (5x-7); x+9=5x-7; -4x=-16;x=4[/latex] [latex]6) Log_{ \frac{1}{2} } (13-x)=-4; Log_{ \frac{1}{2} } (13-x)= Log_{ \frac{1}{2} }16; 13-x=16; x=-3[/latex] [latex]7) Log_{2}(18-6x)=4 Log_{2}3 ;18-6x= 3^{4};-6x=81-18; -6x=63;x=[/latex]-10.5 [latex]8) Log_{4} ( x^{2}-4x)= Log_{4}( x^{2}+3); x^{2}-4x-x^{2}-3=0;-4x=3;x=[/latex]-0.75 [latex]9) Log_{2}(4+x)= Log_{2}(2-x)+2; Log_{2}(4+x)= Log_{2}(2-x)+ Log_{2}4; [/latex][latex] Log_{2}(4+x)= Log_{2}4(2-x); 4+x=8-4x; 5x=4; x=0.8[/latex] 10)[latex]10) Log_{x-3}81=4; Log_{x-3}81= Log_{x-3} (x-3)^{4}; 3^{4}= (x-3)^{4};x=6 [/latex] [latex]11) Log_{16} 2^{5x-6}=4; Log_{16} 2^{5x-6}= Log_{16} 16^{4}; Log_{16} 2^{5x-6}= Log_{16} 2^{16}; [/latex][latex]5x-6=16;5x=22;x=4.4[/latex] 12)[latex] 2^{ Log_{4} (2x+5) }=3; 2^{ Log_{2}3 } ; Log_{4}(2x+5)= Log_{4} 9;2x=9-5;2x=4;x=2 [/latex] хух, дописал.