For #1-5 Solve. Find exact values whenever possible.
1) \(\log _x\left(4x^2+x-4\right)=2\)
2) \(4\log _{x^2}\left(x-1\right)=7-3\log _{x^2}\left(x-1\right)\)
3) \(9^x+9^{x+1}=10\sqrt{3}\)
4) \(\left(\frac{3}{4}\right)^{\left(x+1\right)}=5^x\)
5) \(18=10^{\left(x+3\right)}\)
6) Find the value of \(x\) if the perimeter of trapezoid \(GEOM\) is \(20\) and \(GE = \log_x\left(30\right)\)
1) \(\log _x\left(4x^2+x-4\right)=2\)
2) \(4\log _{x^2}\left(x-1\right)=7-3\log _{x^2}\left(x-1\right)\)
3) \(9^x+9^{x+1}=10\sqrt{3}\)
4) \(\left(\frac{3}{4}\right)^{\left(x+1\right)}=5^x\)
5) \(18=10^{\left(x+3\right)}\)
6) Find the value of \(x\) if the perimeter of trapezoid \(GEOM\) is \(20\) and \(GE = \log_x\left(30\right)\)