<span>2 log 3(x-1)=log(4 x 2-25) 1. Determine the domain. Since the input to the log function cannot be zero or negative, 4x^2-25 must be </span>≥ 0. Thus, x^2 must be >0, or x>0. Same domain applies to log (3(x-1); x must be > 0. 2. Rewrite <span>2 log 3(x-1) as log 3(x-1)^2. 3. Then we have </span>log 3(x-1)^2 = log(4 x 2-25). We can discard the operator "log" from both sides: 3(x-1)^2 = 4 x 2-25. There are various ways in which to solve this. Since you're supposed to "use technology," graph y = 3(x-1)^2 and y = 4x^2 - 25 on the same set of axes. Determine, using visual estimation or your calculator's tools, the value or values of x that satisfy this equation. My result was x=3, y =11.
