0\\x>0,2\\log_3(5x-1)=2\\5x-1=9\\5x=10\\x=2\\\\3)OD3:\\2x-3>0\\x>1,5\\log_4(2x-3)=1\\2x-3=4\\2x=7\\x=3,5" alt="1)OD3:\\5x-1>0\\x>0,2\\log_3(5x-1)=2\\5x-1=9\\5x=10\\x=2\\\\3)OD3:\\2x-3>0\\x>1,5\\log_4(2x-3)=1\\2x-3=4\\2x=7\\x=3,5" align="absmiddle" class="latex-formula">
0\\x>\frac{1}{3}\\lg(3x-1)=0\\3x-1=1\\x=\frac{2}{3}\\\\2)OD3:\\3x+1>0\\x>-\frac{1}{3}\\log_5(3x+1)=2\\3x+1=25\\x=8" alt="5)OD3:\\3x-1>0\\x>\frac{1}{3}\\lg(3x-1)=0\\3x-1=1\\x=\frac{2}{3}\\\\2)OD3:\\3x+1>0\\x>-\frac{1}{3}\\log_5(3x+1)=2\\3x+1=25\\x=8" align="absmiddle" class="latex-formula">
0\\x>-3\\log_7(x+3)=2\\x+3=49\\x=46\\\\6)OD3:\\2-5x>0\\x<\frac{2}{5}\\lg(2-5x)=1\\2-5x=10\\5x=-8\\x=-\frac{8}{5}" alt="4)OD3:\\x+3>0\\x>-3\\log_7(x+3)=2\\x+3=49\\x=46\\\\6)OD3:\\2-5x>0\\x<\frac{2}{5}\\lg(2-5x)=1\\2-5x=10\\5x=-8\\x=-\frac{8}{5}" align="absmiddle" class="latex-formula">
0\\x>1\\\\3)y=log_3(x^2+2x)\\OD3:\\x^2+2x>0\\x^2+2x=0\\x(x+2)=0\\x=0\ ;x=-2" alt="1)y=log_4(x-1)\\OD3:\\x-1>0\\x>1\\\\3)y=log_3(x^2+2x)\\OD3:\\x^2+2x>0\\x^2+2x=0\\x(x+2)=0\\x=0\ ;x=-2" align="absmiddle" class="latex-formula">
/////+/////(-2)....-....(0)/////+/////->x
x=1
0\\x>-1\\\\4)log_{\sqrt2}(4-x^2)\\OD3:\\4-x^2>0\\4-x^2=0\\x=^+_-2" alt="2)y=\log_{0,3}(1+x)\\OD3:\\1+x>0\\x>-1\\\\4)log_{\sqrt2}(4-x^2)\\OD3:\\4-x^2>0\\4-x^2=0\\x=^+_-2" align="absmiddle" class="latex-formula">
.........-.........(-2)/////+/////(2)......-.......->x
x=0
