logarithmic equation: solve 3log^2(x-1) = 5-log^2 4

[bandaidgirl]

solve each logarithmic equation

3log^2(x-1) = 5-log^2 4

3log^2(x-1)+log^2 4 = 5

log^2(x-1)^3 +log^2 4 = 5
:?: :?: :?:
where do i go from here

 

[royhaas]

\(\displaystyle log_2\{4(x-1)^3\} =5\)