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ОДЗ : x∈(1;+∞);
![2log_3(x-1)=log_3(4x+1) \ \
log_3((x-1)^2)=log_3(4x+1) \ \
Osnoavina ;;; odnakovi: \ \
(x-1)^2=4x+1 \ \
x^2-2x+1=4x+1 \ \
x^2-2x-4x=0 \ \
x^2-6x=0 \ \
x(x-6)=0 \ \
x=0 \
x=6 \ \
ODZ: 0notin;ODZ \ \
OTBET:x=6](https://tex.z-dn.net/?f=2log_3%28x-1%29%3Dlog_3%284x%2B1%29+%5C++%5C+%0Alog_3%28%28x-1%29%5E2%29%3Dlog_3%284x%2B1%29+%5C++%5C+%0AOsnoavina+%3B%3B%3B+odnakovi%3A+%5C++%5C+%0A%28x-1%29%5E2%3D4x%2B1+%5C++%5C+%0Ax%5E2-2x%2B1%3D4x%2B1+%5C++%5C+%0Ax%5E2-2x-4x%3D0+%5C++%5C+%0Ax%5E2-6x%3D0+%5C++%5C+%0Ax%28x-6%29%3D0+%5C++%5C+%0Ax%3D0+%5C+%0Ax%3D6+%5C++%5C+%0AODZ%3A+0notin%3BODZ+%5C++%5C+%0AOTBET%3Ax%3D6 "2log_3(x-1)=log_3(4x+1) \ \
log_3((x-1)^2)=log_3(4x+1) \ \
Osnoavina ;;; odnakovi: \ \
(x-1)^2=4x+1 \ \
x^2-2x+1=4x+1 \ \
x^2-2x-4x=0 \ \
x^2-6x=0 \ \
x(x-6)=0 \ \
x=0 \
x=6 \ \
ODZ: 0notin;ODZ \ \
OTBET:x=6")
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