Answer:
[tex]x=\frac{13}{4}[/tex]
Step-by-step explanation:
[tex]\log _4\left(x-3\right)+\log _4\left(4x+3\right)=1[/tex]
[tex]\left(x-3\right)\left(4x+3\right)=4[/tex]
[tex]x=\frac{13}{4},\:x=-1[/tex]
x = 3.25
